CINXE.COM

<!doctype html> <html lang="en"> <head> <base href="https://www.semanticscholar.org/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9"> <title>New asymptotic expansion for the Gamma function | Semantic Scholar</title> <meta name="robots" content="noarchive"> <link rel="canonical" href="https://www.semanticscholar.org/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9"> <meta name="viewport" content="width=device-width,initial-scale=1"> <meta charset="utf-8"> <meta name="s2-ui-version" content="44810d1bf8784bc4456df64f8b7c226120caa3a5"> <meta name="description" content="Using a series transformation, the Stirling-De Moivre asymptotic series approximation to the Gamma function is converted into a new one with better convergence properties. The new formula is being compared with those of Stirling, Laplace, and Ramanujan for real arguments greater than 0.5 and turns out to be, for equal number of “correction” terms, numerically superior to all of them. As a side benefit, a closed-form approximation has turned up during the analysis which is about as good as 3rd order Stirling’s (maximum relative error smaller than 1e − 10 for real arguments greater or equal to 24)."> <meta name="twitter:description" content="Using a series transformation, the Stirling-De Moivre asymptotic series approximation to the Gamma function is converted into a new one with better convergence properties. The new formula is being compared with those of Stirling, Laplace, and Ramanujan for real arguments greater than 0.5 and turns out to be, for equal number of “correction” terms, numerically superior to all of them. As a side benefit, a closed-form approximation has turned up during the analysis which is about as good as 3rd order Stirling’s (maximum relative error smaller than 1e − 10 for real arguments greater or equal to 24)."> <meta property="og:description" content="Using a series transformation, the Stirling-De Moivre asymptotic series approximation to the Gamma function is converted into a new one with better convergence properties. The new formula is being compared with those of Stirling, Laplace, and Ramanujan for real arguments greater than 0.5 and turns out to be, for equal number of “correction” terms, numerically superior to all of them. As a side benefit, a closed-form approximation has turned up during the analysis which is about as good as 3rd order Stirling’s (maximum relative error smaller than 1e − 10 for real arguments greater or equal to 24)."> <meta name="citation_author" content="G. Nemes"> <meta name="citation_title" content="New asymptotic expansion for the Gamma function"> <meta name="citation_publication_date" content="2010"> <meta name="citation_journal_title" content="Archiv der Mathematik"> <meta name="citation_pdf_url" content="https://doi.org/10.1007/S00013-010-0146-9"> <meta property="og:title" content="New asymptotic expansion for the Gamma function | Semantic Scholar"> <meta name="twitter:title" content="New asymptotic expansion for the Gamma function | Semantic Scholar"> <meta property="og:image" content="https://www.semanticscholar.org/img/semantic_scholar_og.png"> <meta property="og:image:secure_url" content="https://www.semanticscholar.org/img/semantic_scholar_og.png"> <meta property="og:image:width" content="1110"> <meta property="og:image:height" content="582"> <meta name="twitter:image" content="https://www.semanticscholar.org/img/semantic_scholar_og.png"> <meta property="og:type" content="website"> <meta property="og:locale" content="en_US"> <meta property="og:image:secure_url" content="https://www.semanticscholar.org/img/semantic_scholar_og.png"> <meta property="og:locale" content="en_US"> <meta name="twitter:card" content="summary_large_image"> <meta name="twitter:image" content="https://www.semanticscholar.org/img/semantic_scholar_og.png"> <meta name="twitter:site" content="@allenai_org"> <link rel="apple-touch-icon-precomposed" sizes="57x57" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/apple-touch-icon-57x57.png" class="favicon"> <link rel="apple-touch-icon-precomposed" sizes="114x114" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/apple-touch-icon-114x114.png" class="favicon"> <link rel="apple-touch-icon-precomposed" sizes="72x72" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/apple-touch-icon-72x72.png" class="favicon"> <link rel="apple-touch-icon-precomposed" sizes="144x144" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/apple-touch-icon-144x144.png" class="favicon"> <link rel="apple-touch-icon-precomposed" sizes="60x60" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/apple-touch-icon-60x60.png" class="favicon"> <link rel="apple-touch-icon-precomposed" sizes="120x120" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/apple-touch-icon-120x120.png" class="favicon"> <link rel="apple-touch-icon-precomposed" sizes="76x76" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/apple-touch-icon-76x76.png" class="favicon"> <link rel="apple-touch-icon-precomposed" sizes="152x152" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/apple-touch-icon-152x152.png" class="favicon"> <link rel="icon" type="image/png" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/favicon-196x196.png" sizes="196x196" class="favicon"> <link rel="icon" type="image/png" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/favicon-96x96.png" sizes="96x96" class="favicon"> <link rel="icon" type="image/png" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/favicon-32x32.png" sizes="32x32" class="favicon"> <link rel="icon" type="image/png" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/favicon-16x16.png" sizes="16x16" class="favicon"> <link rel="icon" type="image/png" href="https://cdn.semanticscholar.org/cc14908dec8ae521/img/favicon-128.png" sizes="128x128" class="favicon"> <meta name="application-name" content=" "> <meta name="msapplication-TileColor" content="#FFFFFF"> <meta name="msapplication-TileImage" content="https://cdn.semanticscholar.org/cc14908dec8ae521/img/mstile-144x144.png" class="favicon"> <meta name="msapplication-square70x70logo" content="https://cdn.semanticscholar.org/cc14908dec8ae521/img/mstile-70x70.png" class="favicon"> <meta name="msapplication-square150x150logo" content="https://cdn.semanticscholar.org/cc14908dec8ae521/img/mstile-150x150.png" class="favicon"> <meta name="msapplication-wide310x150logo" content="https://cdn.semanticscholar.org/cc14908dec8ae521/img/mstile-310x150.png" class="favicon"> <meta name="msapplication-square310x310logo" content="https://cdn.semanticscholar.org/cc14908dec8ae521/img/mstile-310x310.png" class="favicon"> <script type="text/javascript"> (function(){function c(b){b&&Array.from(d).forEach(function(a){a.href&&(a.href=a.href.replace("/img/","/img/darkmode/"));a.content&&(a.content=a.content.replace("/img/","/img/darkmode/"))})}var e=window.matchMedia("(prefers-color-scheme: dark)").matches||!1,d=document.getElementsByClassName("favicon");try{window.matchMedia("(prefers-color-scheme: dark)").addEventListener("change",function(b){c(b.matches)})}catch(b){try{window.matchMedia("(prefers-color-scheme: dark)").addListener(function(a){c(a.matches)})}catch(a){console.error(a)}}c(e)})(); </script> <link href="https://fonts.googleapis.com/css?family=Roboto+Slab:400,500,600,700|Roboto:300,400,500,600,700&display=swap" rel="stylesheet"> <link href="https://cdn.semanticscholar.org/cc14908dec8ae521/css/main.css" rel="stylesheet"> <script async src="https://www.googletagmanager.com/gtag/js?id=G-H7P4ZT52H5"></script> <script> window.googleAnalyticsId = window.googleAnalyticsId || 'G-H7P4ZT52H5'; window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-H7P4ZT52H5', { 'linker': {'domains': ['pdfs.semanticscholar.org'], 'accept_incoming': true}, 'send_page_view': false }); </script> <script>(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start': new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0], j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src= 'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f); })(window,document,'script','dataLayer','GTM-592W6WL');</script> <script type="text/javascript" src="https://c09bc9c04079.edge.sdk.awswaf.com/c09bc9c04079/4996efde3854/challenge.js" defer></script> <script>window.s2isMobile = false;</script> <script>window.s2RouteName = "PAPER_DETAIL";</script> <script>document.documentElement.style.setProperty('--app-height', `${document.documentElement.clientHeight||window.innerHeight||0}px`);</script> <script type="application/ld+json" class="schema-data">{"@context":"http://schema.org","@graph":[{"@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"www.semanticscholar.org/paper","name":"Papers"}},{"@type":"ListItem","position":2,"item":{"@id":"www.semanticscholar.org/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9","name":"New asymptotic expansion for the Gamma function"}}]},[{"@type":"Article","abstract":"Using a series transformation, the Stirling-De Moivre asymptotic series approximation to the Gamma function is converted into a new one with better convergence properties. The new formula is being compared with those of Stirling, Laplace, and Ramanujan for real arguments greater than 0.5 and turns out to be, for equal number of “correction” terms, numerically superior to all of them. As a side benefit, a closed-form approximation has turned up during the analysis which is about as good as 3rd order Stirling’s (maximum relative error smaller than 1e − 10 for real arguments greater or equal to 24).","author":[{"@type":"Person","name":"G. Nemes","mainEntityOfPage":"/author/G.-Nemes/47688163"}],"copyrightYear":"2010","datePublished":"8 June 2010","headline":"New asymptotic expansion for the Gamma function","mainEntity":"https://doi.org/10.1007/S00013-010-0146-9","mainEntityOfPage":"/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9","name":"New asymptotic expansion for the Gamma function","publication":"Archiv der Mathematik","publisher":{"@type":"Organization","name":""},"sameAs":"https://doi.org/10.1007/S00013-010-0146-9","image":[]},{"@type":"ScholarlyArticle","abstract":"Using a series transformation, the Stirling-De Moivre asymptotic series approximation to the Gamma function is converted into a new one with better convergence properties. The new formula is being compared with those of Stirling, Laplace, and Ramanujan for real arguments greater than 0.5 and turns out to be, for equal number of “correction” terms, numerically superior to all of them. As a side benefit, a closed-form approximation has turned up during the analysis which is about as good as 3rd order Stirling’s (maximum relative error smaller than 1e − 10 for real arguments greater or equal to 24).","author":[{"@type":"Person","name":"G. Nemes","mainEntityOfPage":"/author/G.-Nemes/47688163"}],"copyrightYear":"2010","datePublished":"8 June 2010","headline":"New asymptotic expansion for the Gamma function","mainEntity":"https://doi.org/10.1007/S00013-010-0146-9","mainEntityOfPage":"/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9","name":"New asymptotic expansion for the Gamma function","publication":"Archiv der Mathematik","publisher":{"@type":"Organization","name":""},"sameAs":"https://doi.org/10.1007/S00013-010-0146-9","image":[]}]]}</script> <meta http-equiv="X-Translated-By" content="Google"> <meta http-equiv="X-Translated-To" content="en"> <script type="text/javascript" src="https://www.gstatic.com/_/translate_http/_/js/k=translate_http.tr.en_GB.tKc6KWkFf-8.O/am=gAE/d=1/rs=AN8SPfrf36LIV3DkhtRBGWFnLWWzaykPyw/m=corsproxy" data-sourceurl="https://www.semanticscholar.org/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9"></script> <link href="https://fonts.googleapis.com/css2?family=Material+Symbols+Outlined:opsz,wght,FILL,GRAD@20..48,100..700,0..1,-50..200" rel="stylesheet"> <script type="text/javascript" src="https://www.gstatic.com/_/translate_http/_/js/k=translate_http.tr.en_GB.tKc6KWkFf-8.O/am=gAE/d=1/exm=corsproxy/ed=1/rs=AN8SPfrf36LIV3DkhtRBGWFnLWWzaykPyw/m=phishing_protection" data-phishing-protection-enabled="false" data-forms-warning-enabled="true" data-source-url="https://www.semanticscholar.org/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9"></script> <meta name="robots" content="none"> </head> <body class=""> <script type="text/javascript" src="https://www.gstatic.com/_/translate_http/_/js/k=translate_http.tr.en_GB.tKc6KWkFf-8.O/am=gAE/d=1/exm=corsproxy,phishing_protection/ed=1/rs=AN8SPfrf36LIV3DkhtRBGWFnLWWzaykPyw/m=navigationui" data-environment="prod" data-proxy-url="https://www-semanticscholar-org.translate.goog" data-proxy-full-url="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-source-url="https://www.semanticscholar.org/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9" data-source-language="auto" data-target-language="en" data-display-language="en-GB" data-detected-source-language="en" data-is-source-untranslated="false" data-source-untranslated-url="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://www.semanticscholar.org/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9&anno=2" data-client="tr"></script> <style data-styled="" data-styled-version="4.4.1"></style> <style>#app { display: none; }</style> <div id="app" class=""> <div class="app-page HACK__is-desktop paper"> <div class="app-page__header"> <div> <a href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#search-form" class="screen-reader-only">Skip to search form</a><a href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#main-content" class="screen-reader-only">Skip to main content</a><a href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#account-menu" class="screen-reader-only">Skip to account menu</a> <header class="header has-search header--light flex-row-vcenter" role="banner"> <a class="s2-logo-container" aria-label="Homepage" href="https://www-semanticscholar-org.translate.goog/?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"> <svg viewbox="0 0 552.2 100" aria-labelledby="s2-logo-full-title s2-logo-full-desc" role="img" class="logo logo--logo-full"> <title id="s2-logo-full-title">Semantic Scholar</title><desc id="s2-logo-full-desc"> Semantic Scholar's Logo </desc><g class="logo__wordmark"> <path d="M174,40.5c-0.1,0.2-0.3,0.4-0.4,0.5c-0.1,0.1-0.3,0.2-0.6,0.2c-0.2,0-0.5-0.1-0.8-0.3 c-0.3-0.2-0.7-0.5-1.2-0.7c-0.5-0.3-1-0.5-1.7-0.7c-0.6-0.2-1.4-0.3-2.3-0.3c-0.8,0-1.6,0.1-2.2,0.3c-0.6,0.2-1.2,0.5-1.6,0.9 c-0.4,0.4-0.8,0.8-1,1.4c-0.2,0.5-0.3,1.1-0.3,1.7c0,0.8,0.2,1.4,0.6,1.9c0.4,0.5,0.9,0.9,1.6,1.3c0.6,0.4,1.4,0.7,2.2,0.9 c0.8,0.3,1.7,0.5,2.5,0.8c0.9,0.3,1.7,0.6,2.5,1c0.8,0.4,1.6,0.9,2.2,1.4c0.6,0.6,1.2,1.3,1.6,2.1c0.4,0.8,0.6,1.8,0.6,3 c0,1.3-0.2,2.5-0.7,3.6c-0.4,1.1-1.1,2.1-1.9,2.9c-0.8,0.8-1.9,1.5-3.1,2c-1.2,0.5-2.6,0.7-4.1,0.7c-0.9,0-1.8-0.1-2.7-0.3 c-0.9-0.2-1.7-0.4-2.5-0.8c-0.8-0.3-1.5-0.7-2.2-1.2c-0.7-0.5-1.3-1-1.8-1.6l1.2-2.1c0.1-0.2,0.3-0.3,0.4-0.4 c0.2-0.1,0.4-0.2,0.6-0.2c0.3,0,0.6,0.1,1,0.4c0.4,0.3,0.8,0.6,1.4,1s1.2,0.7,2,1c0.8,0.3,1.7,0.4,2.8,0.4c0.9,0,1.7-0.1,2.4-0.4 c0.7-0.2,1.3-0.6,1.8-1c0.5-0.4,0.8-1,1.1-1.6c0.3-0.6,0.4-1.3,0.4-2.1c0-0.8-0.2-1.5-0.6-2.1c-0.4-0.5-0.9-1-1.6-1.4 c-0.6-0.4-1.4-0.7-2.2-0.9c-0.8-0.3-1.7-0.5-2.5-0.8c-0.9-0.3-1.7-0.6-2.5-1c-0.8-0.4-1.6-0.8-2.2-1.4c-0.6-0.6-1.2-1.3-1.6-2.2 c-0.4-0.9-0.6-2-0.6-3.3c0-1,0.2-2,0.6-3c0.4-1,1-1.8,1.8-2.6c0.8-0.7,1.7-1.3,2.9-1.8c1.1-0.5,2.4-0.7,3.9-0.7 c1.6,0,3.1,0.3,4.5,0.8c1.4,0.5,2.5,1.3,3.6,2.2L174,40.5z"></path> <path d="M198.2,61.2l0,3.5h-17.9V35.7h17.9v3.5h-13.6v9.2h11v3.4h-11v9.4H198.2z"></path> <path d="M232.7,35.7v28.9H229V44.1c0-0.3,0-0.6,0-1s0-0.7,0.1-1.1l-9.6,17.7c-0.3,0.7-0.9,1-1.6,1h-0.6 c-0.7,0-1.2-0.3-1.5-1L206,42c0.1,0.8,0.1,1.5,0.1,2.1v20.6h-3.8V35.7h3.2c0.4,0,0.7,0,0.9,0.1s0.4,0.3,0.6,0.6l9.7,17.3 c0.2,0.3,0.4,0.7,0.5,1.1c0.2,0.4,0.3,0.8,0.5,1.2c0.3-0.8,0.6-1.6,1-2.3l9.5-17.3c0.2-0.3,0.4-0.5,0.6-0.6s0.5-0.1,0.9-0.1H232.7 z"></path> <path d="M263.3,64.7H260c-0.4,0-0.7-0.1-0.9-0.3c-0.2-0.2-0.4-0.4-0.5-0.7l-2.6-6.7h-12.8l-2.6,6.7 c-0.1,0.3-0.3,0.5-0.5,0.7c-0.3,0.2-0.6,0.3-0.9,0.3h-3.3l11.5-28.9h4.3L263.3,64.7z M254.8,53.9l-4.3-11.2 c-0.3-0.8-0.6-1.7-0.9-2.9c-0.1,0.6-0.3,1.1-0.5,1.6c-0.2,0.5-0.3,0.9-0.5,1.3l-4.3,11.2H254.8z"></path> <path d="M290.1,35.7v28.9h-2.2c-0.3,0-0.6-0.1-0.8-0.2c-0.2-0.1-0.4-0.3-0.7-0.6l-16.3-21.1c0,0.4,0.1,0.7,0.1,1.1 c0,0.4,0,0.7,0,1v19.8h-3.8V35.7h2.2c0.4,0,0.7,0,0.8,0.1c0.2,0.1,0.4,0.3,0.6,0.6l16.4,21.2c0-0.4-0.1-0.8-0.1-1.1 c0-0.4,0-0.7,0-1V35.7H290.1z"></path> <path d="M316.2,39.3H307v25.3h-4.3V39.3h-9.2v-3.6h22.7V39.3z"></path> <path d="M323.9,64.7h-4.3V35.7h4.3V64.7z"></path> <path d="M350.8,58.5c0.2,0,0.4,0.1,0.6,0.3l1.7,1.9c-1.2,1.4-2.6,2.5-4.3,3.2c-1.7,0.8-3.7,1.1-6.1,1.1 c-2.1,0-4-0.4-5.7-1.1c-1.7-0.7-3.1-1.7-4.4-3c-1.2-1.3-2.1-2.9-2.8-4.7c-0.7-1.8-1-3.8-1-6c0-2.2,0.3-4.2,1-6 c0.7-1.8,1.7-3.4,2.9-4.7c1.2-1.3,2.7-2.3,4.5-3c1.7-0.7,3.7-1.1,5.8-1.1c2.1,0,3.9,0.3,5.5,1c1.6,0.7,3,1.6,4.2,2.7l-1.4,2 c-0.1,0.1-0.2,0.3-0.4,0.4c-0.1,0.1-0.3,0.1-0.6,0.1c-0.3,0-0.6-0.1-0.9-0.4c-0.3-0.3-0.8-0.5-1.4-0.9c-0.6-0.3-1.2-0.6-2.1-0.9 c-0.8-0.3-1.8-0.4-3.1-0.4c-1.4,0-2.8,0.3-3.9,0.8c-1.2,0.5-2.2,1.2-3.1,2.2c-0.9,0.9-1.5,2.1-2,3.5c-0.5,1.4-0.7,2.9-0.7,4.7 c0,1.8,0.2,3.3,0.7,4.7c0.5,1.4,1.2,2.5,2.1,3.5c0.9,1,1.9,1.7,3.1,2.2c1.2,0.5,2.5,0.7,3.8,0.7c0.8,0,1.6-0.1,2.2-0.2 c0.7-0.1,1.3-0.3,1.8-0.5c0.6-0.2,1.1-0.5,1.6-0.8c0.5-0.3,1-0.7,1.5-1.1c0.1-0.1,0.2-0.2,0.3-0.2 C350.5,58.5,350.6,58.5,350.8,58.5z"></path> <path d="M383.2,41.3c-0.2,0.3-0.4,0.6-0.6,0.7c-0.2,0.2-0.5,0.2-0.9,0.2c-0.3,0-0.6-0.1-1-0.3 c-0.4-0.2-0.8-0.4-1.2-0.7c-0.5-0.2-1-0.5-1.5-0.7c-0.6-0.2-1.2-0.3-2-0.3c-1.3,0-2.2,0.3-2.9,0.8c-0.6,0.5-0.9,1.3-0.9,2.2 c0,0.6,0.2,1.1,0.6,1.5c0.4,0.4,0.9,0.7,1.5,1c0.6,0.3,1.3,0.5,2.1,0.8c0.8,0.2,1.6,0.5,2.4,0.8c0.8,0.3,1.6,0.6,2.4,1 c0.8,0.4,1.5,0.9,2.1,1.5c0.6,0.6,1.1,1.3,1.5,2.2c0.4,0.9,0.6,1.9,0.6,3.1c0,1.4-0.2,2.6-0.7,3.8c-0.5,1.2-1.2,2.2-2,3.1 c-0.9,0.9-2,1.6-3.3,2.1c-1.3,0.5-2.8,0.8-4.5,0.8c-0.9,0-1.8-0.1-2.8-0.3c-0.9-0.2-1.9-0.5-2.7-0.8c-0.9-0.3-1.7-0.7-2.5-1.2 c-0.8-0.5-1.5-1-2-1.6l2-3.2c0.2-0.2,0.4-0.4,0.6-0.6c0.3-0.2,0.5-0.2,0.9-0.2c0.4,0,0.8,0.1,1.2,0.4c0.4,0.3,0.9,0.5,1.4,0.8 c0.5,0.3,1.1,0.6,1.8,0.8c0.7,0.3,1.5,0.4,2.4,0.4c1.2,0,2.2-0.3,2.9-0.8c0.7-0.5,1-1.4,1-2.6c0-0.7-0.2-1.2-0.6-1.7 c-0.4-0.4-0.9-0.8-1.5-1.1s-1.3-0.5-2.1-0.7c-0.8-0.2-1.6-0.5-2.4-0.7c-0.8-0.3-1.6-0.6-2.4-1c-0.8-0.4-1.5-0.9-2.1-1.5 c-0.6-0.6-1.1-1.4-1.5-2.3c-0.4-0.9-0.6-2.1-0.6-3.5c0-1.1,0.2-2.2,0.7-3.2c0.4-1,1.1-2,2-2.8c0.9-0.8,1.9-1.5,3.2-2 c1.2-0.5,2.7-0.7,4.3-0.7c0.9,0,1.8,0.1,2.6,0.2c0.9,0.1,1.7,0.3,2.4,0.6c0.8,0.3,1.5,0.6,2.1,1c0.7,0.4,1.3,0.8,1.8,1.3 L383.2,41.3z"></path> <path d="M408.6,57.1c0.2,0,0.3,0,0.5,0.1c0.2,0.1,0.3,0.2,0.5,0.3l2.7,2.8c-1.2,1.5-2.7,2.7-4.4,3.5 c-1.8,0.8-3.9,1.2-6.3,1.2c-2.2,0-4.2-0.4-6-1.1c-1.8-0.8-3.3-1.8-4.5-3.1c-1.2-1.3-2.2-2.9-2.8-4.8c-0.7-1.8-1-3.8-1-6 c0-2.2,0.4-4.2,1.1-6c0.7-1.8,1.7-3.4,3-4.7c1.3-1.3,2.8-2.4,4.6-3.1c1.8-0.7,3.8-1.1,5.9-1.1c1.1,0,2.1,0.1,3.1,0.3 c1,0.2,1.9,0.5,2.7,0.8c0.8,0.3,1.6,0.8,2.3,1.2c0.7,0.5,1.3,1,1.9,1.6l-2.3,3.1c-0.1,0.2-0.3,0.4-0.5,0.5 c-0.2,0.2-0.5,0.2-0.8,0.2c-0.2,0-0.5-0.1-0.7-0.2c-0.2-0.1-0.4-0.2-0.7-0.4c-0.2-0.2-0.5-0.3-0.8-0.5c-0.3-0.2-0.6-0.3-1-0.5 c-0.4-0.2-0.9-0.3-1.4-0.4c-0.5-0.1-1.2-0.2-1.9-0.2c-1.1,0-2.2,0.2-3.1,0.6c-0.9,0.4-1.7,1-2.4,1.8c-0.7,0.8-1.2,1.8-1.6,2.9 c-0.4,1.2-0.6,2.5-0.6,4c0,1.5,0.2,2.8,0.6,4c0.4,1.2,1,2.2,1.7,3c0.7,0.8,1.5,1.4,2.5,1.8c0.9,0.4,1.9,0.6,3,0.6 c0.6,0,1.2,0,1.7-0.1c0.5-0.1,1-0.2,1.4-0.3c0.4-0.1,0.9-0.3,1.2-0.6c0.4-0.2,0.8-0.5,1.2-0.9c0.2-0.1,0.3-0.2,0.5-0.3 C408.2,57.1,408.4,57.1,408.6,57.1z"></path> <path d="M440.2,35.3v29.4h-6.9V52.3h-11.9v12.4h-6.9V35.3h6.9v12.3h11.9V35.3H440.2z"></path> <path d="M474.3,50c0,2.1-0.4,4.1-1.1,5.9c-0.7,1.8-1.8,3.4-3.1,4.8c-1.3,1.3-2.9,2.4-4.8,3.2c-1.9,0.8-4,1.1-6.2,1.1 c-2.3,0-4.4-0.4-6.2-1.1s-3.5-1.8-4.8-3.2c-1.3-1.4-2.4-2.9-3.1-4.8c-0.7-1.8-1.1-3.8-1.1-5.9c0-2.1,0.4-4.1,1.1-5.9 c0.7-1.8,1.8-3.4,3.1-4.8c1.3-1.3,2.9-2.4,4.8-3.2s4-1.1,6.2-1.1c2.3,0,4.4,0.4,6.2,1.2c1.9,0.8,3.5,1.8,4.8,3.2 c1.3,1.3,2.4,2.9,3.1,4.8C474,45.9,474.3,47.9,474.3,50z M467.4,50c0-1.5-0.2-2.8-0.6-3.9c-0.4-1.2-0.9-2.1-1.6-3 c-0.7-0.8-1.6-1.4-2.6-1.9c-1-0.4-2.2-0.6-3.5-0.6c-1.3,0-2.5,0.2-3.5,0.6c-1,0.4-1.9,1-2.6,1.9c-0.7,0.8-1.2,1.8-1.6,3 s-0.6,2.5-0.6,3.9c0,1.5,0.2,2.8,0.6,3.9s0.9,2.1,1.6,3c0.7,0.8,1.6,1.4,2.6,1.8c1,0.4,2.2,0.6,3.5,0.6c1.3,0,2.5-0.2,3.5-0.6 c1-0.4,1.9-1,2.6-1.8c0.7-0.8,1.2-1.8,1.6-3C467.2,52.8,467.4,51.5,467.4,50z"></path> <path d="M495.7,59.2v5.4H478V35.3h6.8v23.9H495.7z"></path> <path d="M526.3,64.7H521c-0.6,0-1.1-0.1-1.4-0.4c-0.4-0.3-0.6-0.6-0.8-1.1l-1.7-5.1h-11.2l-1.7,5.1 c-0.1,0.4-0.4,0.7-0.8,1c-0.4,0.3-0.9,0.5-1.4,0.5h-5.3l11.4-29.4h7L526.3,64.7z M515.5,53.5l-2.7-8c-0.2-0.5-0.4-1.1-0.6-1.8 c-0.2-0.7-0.5-1.4-0.7-2.2c-0.2,0.8-0.4,1.6-0.6,2.3c-0.2,0.7-0.4,1.3-0.6,1.8l-2.7,8H515.5z"></path> <path d="M552.2,64.7h-6.2c-1.1,0-2-0.4-2.5-1.3l-4.9-8.5c-0.2-0.4-0.5-0.6-0.8-0.8c-0.3-0.2-0.7-0.3-1.2-0.3H535v10.9 h-6.8V35.3h9.6c2.1,0,3.9,0.2,5.4,0.7c1.5,0.4,2.7,1,3.7,1.8s1.6,1.7,2.1,2.8c0.4,1.1,0.6,2.2,0.6,3.5c0,1-0.1,1.9-0.4,2.7 c-0.3,0.8-0.6,1.6-1.1,2.3c-0.5,0.7-1.1,1.4-1.8,1.9c-0.7,0.6-1.6,1-2.5,1.4c0.4,0.2,0.9,0.5,1.2,0.9c0.4,0.3,0.7,0.7,1,1.2 L552.2,64.7z M537.8,49.1c0.9,0,1.7-0.1,2.4-0.4c0.7-0.2,1.2-0.6,1.6-1c0.4-0.4,0.7-0.9,0.9-1.5c0.2-0.6,0.3-1.2,0.3-1.8 c0-1.3-0.4-2.3-1.3-3c-0.8-0.7-2.1-1.1-3.9-1.1H535v8.7H537.8z"></path> </g><g class="logo__mark"> <path class="logo__checkmark" d="M138.7,30.4c-4.9,3.1-8.3,4.8-12.4,7.2c-24,14.5-47.1,30.6-65,51.9L52.7,100L26.3,58 c5.9,4.7,20.6,17.9,26.6,20.8l19.4-14.6C85.8,54.7,124,34,138.7,30.4z"></path> <path class="logo__paper-one" d="M46.5,68.5c2,1.6,4,3.1,5.6,4.3c4.4-21.2,0.7-44-10.9-63.8c19.5-0.3,38.9-0.5,58.4-0.8 c4.4,9.7,6.9,20,7.5,30.6c1.7-0.9,3.4-1.7,5.1-2.5c-0.6-10.8-3.7-22.6-9.6-36.2C76,0,49.5,0,22.9,0C40.2,20.5,48.1,45.3,46.5,68.5 z"></path> <path class="logo__paper-two" d="M42.9,65.7c0.5,0.5,1.1,0.9,1.6,1.3c-0.8-19.7-8.2-39.8-22.1-57.1c-4.1,0-8.3,0-12.4,0 C27.9,26.4,38.8,46.3,42.9,65.7z"></path> <path class="logo__paper-three" d="M38.6,61.9c0.6,0.5,1.2,1,1.9,1.6c-5.2-14.6-14.4-29-27.4-41.6c-4.4,0-8.7,0-13.1,0 C16.7,33.9,29.6,47.8,38.6,61.9z"></path> </g> </svg></a> <form class="search-bar v2-search-bar" id="search-form" role="search" autocomplete="off" action="/search"> <div class="flex-row-vcenter input-container"> <div class="flex-row-vcenter input-bg"> <label for="q" class="search-input__label">Search 224,413,105 papers from all fields of science</label><input type="search" name="q" aria-label="Search text" class="legacy__input input form-input search-bar__input" value=""><button disabled aria-label="Submit" aria-disabled="true" data-test-id="search__form-submit" class="form-submit form-submit__icon-text"> <div class="flex-row-vcenter"> <span class="form-submit-label">Search</span> <svg aria-hidden="true" width="13" height="13" alt="" class="icon-svg icon-search-small" data-test-id="icon-search-small"> <use xlink:href="#search-small"></use> </svg> </div></button> </div> </div> </form> <div class="header-right flex-right flex-row-vcenter"> <nav class="account-menu" id="account-menu"> <div class="account-menu__signed-out account-menu__show-sign-up"> <button aria-label="Sign In" data-test-id="reading-list-sign-in" data-heap-id="sign_in_modal_button" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-secondary cl-button--density-default button button--secondary account-menu__sign-in-button"><span class="cl-button__label">Sign In</span></button><button aria-label="Create Free Account" data-test-id="reading-list-sign-in" data-heap-id="sign_up_modal_button" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-primary cl-button--density-default button button--primary account-menu__sign-up-button"><span class="cl-button__label">Create Free Account</span></button> </div> </nav><iframe id="cognito-signout-iframe" class="cognito-signout__iframe" title="Intentionally blank" aria-hidden="true" tabindex="-1"></iframe> </div> </header> <div class="network-status network-status--is-online"></div> </div> </div> <div class="app-page__content"> <div class="fresh-paper-detail-page paper-detail-cards" role="main" id="main-content" data-heap-id="new_ab_framework_mock_ab" data-heap-group="control"> <div class="fresh-paper-detail-page__above-the-fold"> <div class="centered-max-width-content"> <div class="flex-container flex-row flex-column-med flex-relative-pos fresh-paper-detail-page__top-container"> <div class="flex-item flex-item--width-66 flex-item__left-column"> <div class="fresh-paper-detail-page__header" data-test-id="paper-detail-page-header"> <ul class="paper-meta paper-detail__paper-meta-top" data-test-id="paper-meta-subhead"> <li data-test-id="paper-doi"> <section class="doi"> <span class="doi__label">DOI:</span><a class="doi__link" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://doi.org/10.1007/S00013-010-0146-9">10.1007/S00013-010-0146-9</a> </section></li> <li data-test-id="corpus-id">Corpus ID: 121820640</li> </ul> <h1 data-test-id="paper-detail-title">New asymptotic expansion for the Gamma function</h1> <pre class="bibtex-citation" data-nosnippet="true">@article{Nemes2010NewAE, title={New asymptotic expansion for the Gamma function}, author={Gergő Nemes}, journal={Archiv der Mathematik}, year={2010}, volume={95}, pages={161-169}, url={https://api.semanticscholar.org/CorpusID:121820640} }</pre> <ul class="flex-row-vcenter paper-meta"> <li class="paper-meta-item"><span class="paper-meta" data-test-id="paper-meta-subhead"><span class="author-list"><span data-heap-id="heap_author_list_item" data-heap-author-id="47688163" data-test-id="author-list"><a class="author-list__link author-list__author-name" href="https://www-semanticscholar-org.translate.goog/author/G.-Nemes/47688163?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>G. Nemes</span></span></a></span></span></span></li> <li class="paper-meta-item"><span data-test-id="year-and-venue">Published <span data-test-id="paper-year"><span class=""><span>8 June 2010</span></span></span></span></li> <li class="paper-meta-item">Mathematics</li> <li class="paper-meta-item"><span data-heap-id="paper-meta-journal">Archiv der Mathematik</span></li> </ul> <div class="tldr-abstract-replacement paper-detail-page__tldr-abstract" data-test-id="no-highlight-abstract-text"> <div class="text-truncator abstract__text text--preline"> <span data-test-id="text-truncator-text">Using a series transformation, the Stirling-De Moivre asymptotic series approximation to the Gamma function is converted into a new one with better convergence properties. The new formula is being compared with those of Stirling, Laplace, and Ramanujan for real arguments greater than 0.5 and turns out to be, for equal number of “correction” terms, numerically superior to all of them. As a side benefit, a closed-form approximation has turned up during the analysis which is about as good as 3rd… </span><button aria-label="Expand truncated text" data-test-id="text-truncator-toggle" tabindex="0" data-heap-id="text_truncator_toggle" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default text-truncator__toggle more-toggle mod-clickable more"><span class="cl-button__label">Expand</span></button> </div> </div> <div class="flex-container flex-wrap flex-paper-actions__group"> <div class="flex-item alternate-sources"> <div class="flex-container flex-paper-actions__item-container"> <div class="flex-item alternate-sources__paperlink-wrapper"> <a class="icon-button button--full-width button--primary flex-paper-actions__button flex-paper-actions__button--primary" data-test-id="paper-link" data-heap-id="paper_link_target" data-heap-link-type="publisher" data-heap-direct-pdf-link="false" data-heap-unpaywall-link="false" data-heap-institutional="false" data-heap-primary-link="true" data-heap-paper-id="215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9" link="n { isPrimary: null, url: "https://doi.org/10.1007/S00013-010-0146-9", linkType: "publisher", publisherName: "Springer" }" target="_blank" rel="noopener" title="https://doi.org/10.1007/S00013-010-0146-9" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://doi.org/10.1007/S00013-010-0146-9"><span class="flex-row-centered"> <svg aria-hidden="true" width="11" height="11" alt="" class="icon-svg icon-fa-link-out" data-test-id="icon-fa-link-out"> <use xlink:href="#fa-link-out"></use> </svg><span class="icon-button-text">View on Springer</span></span></a> </div> </div> </div> <div class="flex-item"> <div class="flex-container flex-paper-actions__item-container"> <div class="flex-item"> <button class="icon-button flex-paper-actions__button flex-paper-actions__button--responsive-secondary" data-test-id="paper-action-save" data-heap-id="pdp_actions_save"><span class="flex-row-centered"> <svg aria-hidden="true" width="11" height="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg><span class="icon-button-text">Save to Library</span><span class="icon-button-responsive-text">Save</span></span></button> </div> <div class="flex-item"> <button class="icon-button flex-paper-actions__button flex-paper-actions__button--responsive-secondary" data-test-id="create-alert-button" data-heap-id="pdp_actions_alert"><span class="flex-row-centered"> <svg aria-hidden="true" width="12" height="12" alt="" class="icon-svg icon-fa-bell" data-test-id="icon-fa-bell"> <use xlink:href="#fa-bell"></use> </svg><span class="icon-button-text">Create Alert</span><span class="icon-button-responsive-text">Alert</span></span></button> </div> <div class="flex-item flex-paper-actions__item--hidden-when-narrow"> <button class="icon-button cite-button flex-paper-actions__button flex-paper-actions__button--responsive-secondary" data-test-id="cite-link" data-heap-id="pdp_actions_cite" target="_blank"><span class="flex-row-centered"> <svg aria-hidden="true" width="11" height="11" alt="" class="icon-svg icon-fa-quote" data-test-id="icon-fa-quote"> <use xlink:href="#fa-quote"></use> </svg><span class="icon-button-text">Cite</span></span></button> </div> </div> </div> </div> </div> </div> <div class="flex-item flex-item--width-33 flex-item__right-column"> <button data-heap-id="share_link" aria-label="Copy a shareable link to your clipboard" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button share-link-button paper-detail-page__share-social-options"><span class="cl-button__icon"> <svg aria-hidden="true" alt="" class="icon-svg icon-fa-link" data-test-id="icon-fa-link"> <use xlink:href="#fa-link"></use> </svg></span><span class="cl-button__label">Share</span></button> <div class="scorecard"> <div class="scorecard_container"> <div class="flex-item scorecard__item"> <div class="scorecard__stat scorecard__citation-intent" data-heap-id="pdp_scorecard_item" data-heap-type="citation-intent" data-test-id="scorecard-citation-intent"> <div class="scorecard-stat__body" data-test-id="scorecard-body"> <span class="scorecard-stat__headline"><span class="scorecard-stat__headline__dark">100 Citations</span></span> <div class="scorecard__description"> <div class="scorecard-citation__metadata"> <div class="scorecard-citation__metadata__stat"> <a href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers"> <div class="scorecard-citation__key-title"> Highly Influential Citations </div></a><span><a href="https://www-semanticscholar-org.translate.goog/faq?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#influential-citations" class="" aria-label="Learn more about highly influenced citations"> <svg aria-hidden="true" class="scorecard-citation__influential-citations-info icon-svg icon-information" alt="" data-test-id="icon-information"> <use xlink:href="#information"></use> </svg></a></span> </div> <div class="scorecard-citation__metadata-item"> 5 </div> </div> <div class="scorecard-citation"> <div class="scorecard-citation__metadata"> <div class="scorecard-citation__metadata__stat"> <a href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers"> <div class="scorecard-citation__title"> Background Citations </div></a><span></span> </div> <div class="scorecard-citation__metadata-item"> 8 </div> </div> <div class="scorecard-citation__metadata"> <div class="scorecard-citation__metadata__stat"> <a href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers"> <div class="scorecard-citation__title"> Methods Citations </div></a><span></span> </div> <div class="scorecard-citation__metadata-item"> 12 </div> </div> <div class="scorecard-citation__metadata"> <div class="scorecard-citation__metadata__stat"> <a href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers"> <div class="scorecard-citation__title"> Results Citations </div></a><span></span> </div> <div class="scorecard-citation__metadata-item"> 2 </div> </div> </div><a class="scorecard-stat__headline__view-all" href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers"><button data-heap-id="pdp_citing_scorecard_item" data-heap-key="view_all" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-secondary cl-button--density-default scorecard-stat__headline__view-all_btn"><span class="cl-button__label">View All</span></button></a> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class="centered-max-width-content paper-detail-page__cards"> <div class="card-container"> <div id="citing-papers" class="card card--type-default citing-papers" tabindex="0"> <div class="card-header"> <div class="dropdown-filters__header dropdown-filters-breakpoints__pdp_cite"> <div class="dropdown-filters__controls"> <h2 class="dropdown-filters__result-count__header dropdown-filters__result-count__citations">100 Citations</h2> <div class="flex-container flex-row-vcenter dropdown-filters__header__outer-flex-container"> <div class="flex-container flex-row-vcenter dropdown-filters__filter-flex-container"> <form id="citation-search-text-form" class="dropdown-filters__search-within-form" role="search"> <div class="flex-container search-within"> <input type="search" id="search-within-input" autocomplete="off" data-test-id="search-within-input" class="cl-text-input dropdown-filters__search-within-input" name="cite_q" placeholder="Search authors, publications, venues, fields of study" value=""><button aria-label="Submit" class="form-submit form-submit__icon-text" data-test-id="submit-search-within-input"> <div class="flex-row-vcenter"> <svg aria-hidden="true" width="14" height="14" alt="" class="icon-svg icon-search-small" data-test-id="icon-search-small"> <use xlink:href="#search-small"></use> </svg> </div></button> </div> </form> <div class="cl-dropdown cl-dropdown--arrow-pos-top-left search-cite-menu__dropdown"> <div class="cl-dropdown__button"> <button disabled aria-expanded="false" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-default cl-button--density-default cl-dropdown-button"><span class="cl-button__label">Citation Type</span><span class="cl-button__arrow"> <svg aria-hidden="true" height="12" width="12" class="cl-dropdown-button__dropdown-arrow icon-svg icon-disclosure" alt="" data-test-id="icon-disclosure"> <use xlink:href="#disclosure"></use> </svg></span></button> </div> <div class="cl-dropdown__popover"></div> </div> <div class="flex-item fresh-filters__filter_container toggle unselected"> <button aria-pressed="false" class="button button--secondary is-disabled" disabled data-test-id="pdf-available-filter-button" data-heap-id="pdf_available_filter_button">Has PDF</button> </div> <div class="cl-dropdown cl-dropdown--arrow-pos-top-left dropdown-filters__author"> <div class="cl-dropdown__button"> <button disabled aria-expanded="false" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-default cl-button--density-default cl-dropdown-button"><span class="cl-button__label">Author</span><span class="cl-button__arrow"> <svg aria-hidden="true" height="12" width="12" class="cl-dropdown-button__dropdown-arrow icon-svg icon-disclosure" alt="" data-test-id="icon-disclosure"> <use xlink:href="#disclosure"></use> </svg></span></button> </div> <div class="cl-dropdown__popover"></div> </div> <div class="dropdown-filters__modal-button flex-item"> <button disabled type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-secondary cl-button--density-default dropdown-filters__some_filters"><span class="cl-button__label">More Filters</span></button> </div> <div class="dropdown-filters__modal-button flex-item"> <button disabled type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-secondary cl-button--density-default dropdown-filters__more_filters"><span class="cl-button__label">More Filters</span></button> </div> <div class="dropdown-filters__modal-button"> <button disabled type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-secondary cl-button--density-default dropdown-filters__mobile_filters"><span class="cl-button__label">Filters</span></button> </div> </div> <div class="dropdown-filters__sort-control search-sort flex-row-vcenter"> <select class="legacy__select search-sort-select" data-heap-id="sort_select" data-test-id="sort-select"><option selected value="relevance" data-test-id="sort-by-relevance">Sort by Relevance</option><option value="is-influential" data-test-id="sort-by-is-influential">Sort by Most Influenced Papers</option><option value="total-citations" data-test-id="sort-by-total-citations">Sort by Citation Count</option><option value="pub-date" data-test-id="sort-by-pub-date">Sort by Recency</option></select> <svg aria-hidden="true" height="12" width="12" class="dropdown-arrow-icon icon-svg icon-disclosure" alt="" data-test-id="icon-disclosure"> <use xlink:href="#disclosure"></use> </svg> </div> </div> </div> </div> </div> <div class="card-content"> <div class="paper-detail-content-card result-page" data-test-id="cited-by"> <div class="citation-list__citations"> <div class="cl-paper-row citation-list__paper-row" data-paper-id="0b3b88aed1e7a85c649484ba20d1fecdda0d7b05"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="0b3b88aed1e7a85c649484ba20d1fecdda0d7b05" data-heap-citation-type="citingPapers" data-heap-has-intents="false" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/Unified-approaches-to-the-approximations-of-the-Wang/0b3b88aed1e7a85c649484ba20d1fecdda0d7b05?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-0b3b88aed1e7a85c649484ba20d1fecdda0d7b05" class="cl-paper-title" tabindex="" aria-describedby="">Unified approaches to the approximations of the gamma function</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="1422312702" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Weiping-Wang/1422312702?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Weiping Wang</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2016</span></span></li> </ul> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="17 Citations" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/0b3b88aed1e7a85c649484ba20d1fecdda0d7b05?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>17 </div></a></li> <li class="cl-paper-stats__item"> <div class="flex-row paper-badge-list"> <a class="link-button--no-underline" href="https://www-semanticscholar-org.translate.goog/paper/0b3b88aed1e7a85c649484ba20d1fecdda0d7b05?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"> <div class="cl-paper-stat cl-paper-stat__collapsable cl-paper-stat__icon-only cl-paper-stat__adjust-badge-position cl-paper-stats__badge__unpaywall cl-paper-stats__badge-hover" data-test-id="paper-badge-unpaywall" aria-label="This paper has an available open access PDF" data-heap-id="paper_badge_unpaywall"> <span class="cl-paper-stats__combined"> <svg aria-hidden="true" class="cl-paper-stats__icon icon-svg icon-open-access" height="12" width="12" alt="" data-test-id="icon-open-access"> <use xlink:href="#open-access"></use> </svg><span class="cl-paper-stats__symbol">PDF</span></span> </div></a> </div></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="465f97f08efb1114c5e2588a45a84bcf0f87bf84"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="465f97f08efb1114c5e2588a45a84bcf0f87bf84" data-heap-citation-type="citingPapers" data-heap-has-intents="true" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/A-continued-product-approximation-for-the-gamma-Feng-Wang/465f97f08efb1114c5e2588a45a84bcf0f87bf84?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-465f97f08efb1114c5e2588a45a84bcf0f87bf84" class="cl-paper-title" tabindex="" aria-describedby="">A continued product approximation for the gamma function</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="2117930608" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Lei-Feng/2117930608?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Lei Feng</span></span></a></span><span data-heap-id="citation_author" data-heap-author-id="1422312702" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Weiping-Wang/1422312702?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Weiping Wang</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2013</span></span></li> </ul> <div class="tldr-abstract-replacement text-truncator"> <div class="cl-dropdown cl-dropdown--arrow-pos-top-left tldr-abstract__pill"> <div class="cl-dropdown__button"> <button type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-default cl-button--density-default tldr-abstract-replacement__pill mod-clickable"><span class="cl-button__label">TLDR</span></button> </div> <div class="cl-dropdown__popover"></div> </div><span class=""><span>A continued product approximation for the gamma function: where the powers γi can be determined by a recurrence and one of Mortici's approximations for the factorial function results is a special case of this approximation.</span></span><button aria-label="Expand truncated text" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default more mod-clickable more-toggle"><span class="cl-button__label">Expand</span></button> </div> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="3 Citations" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/465f97f08efb1114c5e2588a45a84bcf0f87bf84?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>3 </div></a></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="cl-paper-flags cl-paper-controls__flags" data-test-id="citation"> <div class="citation__body"> <ul class="cl-paper__bulleted-row"> <li class="cl-paper__bulleted-row__item cl-paper-flag__popover-button"><button data-heap-id="citation_box" data-heap-paper-id="465f97f08efb1114c5e2588a45a84bcf0f87bf84" data-heap-type="excerpt" data-heap-citation-type="citingPapers" data-test-id="excerpt" aria-expanded="false" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-flag__flag-button"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-excerpt" data-test-id="icon-excerpt"> <use xlink:href="#excerpt"></use> </svg></span><span class="cl-button__label">1 Excerpt</span></button></li> </ul> </div> </div> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="832540996a73ad55f495cb1e579f1afcc15b10e5"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="832540996a73ad55f495cb1e579f1afcc15b10e5" data-heap-citation-type="citingPapers" data-heap-has-intents="true" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/Some-new-quicker-continued-fraction-approximations-Lu-Ma/832540996a73ad55f495cb1e579f1afcc15b10e5?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-832540996a73ad55f495cb1e579f1afcc15b10e5" class="cl-paper-title" tabindex="" aria-describedby="">Some new quicker continued fraction approximations for the gamma function related to the Nemes’ formula</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="48111676" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Dawei-Lu/48111676?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Dawei Lu</span></span></a></span><span data-heap-id="citation_author" data-heap-author-id="3147935" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Congxu-Ma/3147935?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Congxu Ma</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <div class="cl-paper__bulleted-row__item"> <a class="cl-paper-venue cl-paper-venue--paper-metadata" data-heap-id="paper-meta-venue" href="https://www-semanticscholar-org.translate.goog/venue?name=Numerical+Algorithms&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB">Numerical Algorithms</a> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2015</span></span></li> </ul> <div class="tldr-abstract-replacement text-truncator"> <div class="cl-dropdown cl-dropdown--arrow-pos-top-left tldr-abstract__pill"> <div class="cl-dropdown__button"> <button type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-default cl-button--density-default tldr-abstract-replacement__pill mod-clickable"><span class="cl-button__label">TLDR</span></button> </div> <div class="cl-dropdown__popover"></div> </div><span class=""><span>A new quicker continued fraction approximation of the gamma function is constructed, based on Nemes’ formula, and some inequalities are established.</span></span><button aria-label="Expand truncated text" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default more mod-clickable more-toggle"><span class="cl-button__label">Expand</span></button> </div> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="1 Citation" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/832540996a73ad55f495cb1e579f1afcc15b10e5?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>1 </div></a></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="cl-paper-flags cl-paper-controls__flags" data-test-id="citation"> <div class="citation__body"> <ul class="cl-paper__bulleted-row"> <li class="cl-paper__bulleted-row__item cl-paper-flag__popover-button"><button data-heap-id="citation_box" data-heap-paper-id="832540996a73ad55f495cb1e579f1afcc15b10e5" data-heap-type="excerpt" data-heap-citation-type="citingPapers" data-test-id="excerpt" aria-expanded="false" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-flag__flag-button"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-excerpt" data-test-id="icon-excerpt"> <use xlink:href="#excerpt"></use> </svg></span><span class="cl-button__label">1 Excerpt</span></button></li> </ul> </div> </div> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="10a6f5552100d3e1a0850af778672d2579681bc9"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="10a6f5552100d3e1a0850af778672d2579681bc9" data-heap-citation-type="citingPapers" data-heap-has-intents="true" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/A-new-sharp-approximation-for-the-Gamma-function-to-Lu/10a6f5552100d3e1a0850af778672d2579681bc9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-10a6f5552100d3e1a0850af778672d2579681bc9" class="cl-paper-title" tabindex="" aria-describedby="">A new sharp approximation for the Gamma function related to Burnside’s formula</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="48111841" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Dawei-Lu/48111841?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Dawei Lu</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2014</span></span></li> </ul> <div class="cl-paper-abstract"> <span class="" data-test-id="paper-abstract-toggle"><span>In this paper, based on Burnside’s formula, a similar continued fraction approximation of the factorial function and some inequalities for the gamma function are established. Finally, for</span><span>… </span><button aria-label="Expand truncated text" tabindex="0" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default more mod-clickable more-toggle"><span class="cl-button__label">Expand</span></button></span> </div> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="21 Citations" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/10a6f5552100d3e1a0850af778672d2579681bc9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>21 </div></a></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="cl-paper-flags cl-paper-controls__flags" data-test-id="citation"> <div class="citation__body"> <ul class="cl-paper__bulleted-row"> <li class="cl-paper__bulleted-row__item cl-paper-flag__popover-button"><button data-heap-id="citation_box" data-heap-paper-id="10a6f5552100d3e1a0850af778672d2579681bc9" data-heap-type="excerpt" data-heap-citation-type="citingPapers" data-test-id="excerpt" aria-expanded="false" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-flag__flag-button"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-excerpt" data-test-id="icon-excerpt"> <use xlink:href="#excerpt"></use> </svg></span><span class="cl-button__label">1 Excerpt</span></button></li> </ul> </div> </div> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="c1f1fd4400cd9ddea35d02c399591035b1ff3434"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="c1f1fd4400cd9ddea35d02c399591035b1ff3434" data-heap-citation-type="citingPapers" data-heap-has-intents="true" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/A-new-sharp-approximation-for-the-Gamma-function-to-Lu/c1f1fd4400cd9ddea35d02c399591035b1ff3434?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-c1f1fd4400cd9ddea35d02c399591035b1ff3434" class="cl-paper-title" tabindex="" aria-describedby="">A new sharp approximation for the Gamma function related to Burnside’s formula</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="2191097878" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Dawei-Lu/2191097878?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Dawei Lu</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <div class="cl-paper__bulleted-row__item"> <a class="cl-paper-venue cl-paper-venue--paper-metadata" data-heap-id="paper-meta-venue" href="https://www-semanticscholar-org.translate.goog/venue?name=The+Ramanujan+Journal&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB">The Ramanujan Journal</a> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2014</span></span></li> </ul> <div class="cl-paper-abstract"> <span class="" data-test-id="paper-abstract-toggle"><span>In this paper, based on Burnside’s formula, a similar continued fraction approximation of the factorial function and some inequalities for the gamma function are established. Finally, for</span><span>… </span><button aria-label="Expand truncated text" tabindex="0" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default more mod-clickable more-toggle"><span class="cl-button__label">Expand</span></button></span> </div> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="1 Citation" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/c1f1fd4400cd9ddea35d02c399591035b1ff3434?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>1 </div></a></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="cl-paper-flags cl-paper-controls__flags" data-test-id="citation"> <div class="citation__body"> <ul class="cl-paper__bulleted-row"> <li class="cl-paper__bulleted-row__item cl-paper-flag__popover-button"><button data-heap-id="citation_box" data-heap-paper-id="c1f1fd4400cd9ddea35d02c399591035b1ff3434" data-heap-type="excerpt" data-heap-citation-type="citingPapers" data-test-id="excerpt" aria-expanded="false" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-flag__flag-button"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-excerpt" data-test-id="icon-excerpt"> <use xlink:href="#excerpt"></use> </svg></span><span class="cl-button__label">1 Excerpt</span></button></li> </ul> </div> </div> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="905b8edd173104be18211724fe2e4975e8d30c28"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="905b8edd173104be18211724fe2e4975e8d30c28" data-heap-citation-type="citingPapers" data-heap-has-intents="true" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/New-Approximations-for-the-Higher-Order-in-an-for-Issaka/905b8edd173104be18211724fe2e4975e8d30c28?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-905b8edd173104be18211724fe2e4975e8d30c28" class="cl-paper-title" tabindex="" aria-describedby="">New Approximations for the Higher Order Coefficients in an Asymptotic Expansion for the Barnes G-Function</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="102559459" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Aziz-Issaka/102559459?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Aziz Issaka</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <div class="cl-paper__bulleted-row__item"> <a class="cl-paper-venue cl-paper-venue--paper-metadata" data-heap-id="paper-meta-venue" href="https://www-semanticscholar-org.translate.goog/venue?name=Results+in+Mathematics&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB">Results in Mathematics</a> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2021</span></span></li> </ul> <div class="cl-paper-abstract"> <span class="" data-test-id="paper-abstract-toggle"><span>In this paper, we provide new formulas for determining the coefficients appearing in the asymptotic expansion for the Barnes G-function as n tends to infinity for certain classes of asymptotic</span><span>… </span><button aria-label="Expand truncated text" tabindex="0" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default more mod-clickable more-toggle"><span class="cl-button__label">Expand</span></button></span> </div> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <a target="_blank" class="cl-paper-action__reader-link link-button--no-underline link-button--in-new-tab" aria-describedby="cl-paper-reader-button-tooltip" data-test-id="cl-paper-reader-button" aria-label="Semantic Reader, an AI-powered PDF reader" href="https://www-semanticscholar-org.translate.goog/reader/905b8edd173104be18211724fe2e4975e8d30c28?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"></a><a class="icon-button cl-paper-action__reader-button cl-paper-action__reader-button--square-corner cl-paper-action__reader-button--no-margin" data-test-id="cl-paper-reader-button" data-heap-id="reader_button_paper_row"><span class="flex-row-centered"> <svg aria-hidden="true" height="14" width="14" class="cl-paper-action__reader-button-icon icon-svg icon-semantic-reader" alt="" data-test-id="icon-semantic-reader"> <use xlink:href="#semantic-reader"></use> </svg><span class="icon-button-text">[PDF]</span></span></a> </ul> </div> <div class="cl-paper-controls__actions"> <div class="cl-paper-flags cl-paper-controls__flags" data-test-id="citation"> <div class="citation__body"> <ul class="cl-paper__bulleted-row"> <li class="cl-paper__bulleted-row__item cl-paper-flag__popover-button"><button data-heap-id="citation_box" data-heap-paper-id="905b8edd173104be18211724fe2e4975e8d30c28" data-heap-type="excerpt" data-heap-citation-type="citingPapers" data-test-id="excerpt" aria-expanded="false" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-flag__flag-button"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-excerpt" data-test-id="icon-excerpt"> <use xlink:href="#excerpt"></use> </svg></span><span class="cl-button__label">1 Excerpt</span></button></li> </ul> </div> </div> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="6a6fa78269782be8b66ba0061630fcbc48902763"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="6a6fa78269782be8b66ba0061630fcbc48902763" data-heap-citation-type="citingPapers" data-heap-has-intents="false" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/On-Some-Asymptotic-Expansions-for-the-Gamma-Mahmoud-Almuashi/6a6fa78269782be8b66ba0061630fcbc48902763?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-6a6fa78269782be8b66ba0061630fcbc48902763" class="cl-paper-title" tabindex="" aria-describedby="">On Some Asymptotic Expansions for the Gamma Function</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="49768032" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Mansour-Mahmoud/49768032?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Mansour Mahmoud</span></span></a></span><span data-heap-id="citation_author" data-heap-author-id="2120914455" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Hanan-Almuashi/2120914455?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Hanan Almuashi</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <div class="cl-paper__bulleted-row__item"> <a class="cl-paper-venue cl-paper-venue--paper-metadata" data-heap-id="paper-meta-venue" href="https://www-semanticscholar-org.translate.goog/venue?name=Symmetry&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB">Symmetry</a> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2022</span></span></li> </ul> <div class="cl-paper-abstract"> <span class="" data-test-id="paper-abstract-toggle"><span>Inequalities play a fundamental role in both theoretical and applied mathematics and contain many patterns of symmetries. In many studies, inequalities have been used to provide estimates of some</span><span>… </span><button aria-label="Expand truncated text" tabindex="0" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default more mod-clickable more-toggle"><span class="cl-button__label">Expand</span></button></span> </div> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="2 Citations" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/6a6fa78269782be8b66ba0061630fcbc48902763?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>2 </div></a></li> <li class="cl-paper-stats__item"> <div class="flex-row paper-badge-list"> <a class="link-button--no-underline" href="https://www-semanticscholar-org.translate.goog/paper/6a6fa78269782be8b66ba0061630fcbc48902763?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"> <div class="cl-paper-stat cl-paper-stat__collapsable cl-paper-stat__icon-only cl-paper-stat__adjust-badge-position cl-paper-stats__badge__unpaywall cl-paper-stats__badge-hover" data-test-id="paper-badge-unpaywall" aria-label="This paper has an available open access PDF" data-heap-id="paper_badge_unpaywall"> <span class="cl-paper-stats__combined"> <svg aria-hidden="true" class="cl-paper-stats__icon icon-svg icon-open-access" height="12" width="12" alt="" data-test-id="icon-open-access"> <use xlink:href="#open-access"></use> </svg><span class="cl-paper-stats__symbol">PDF</span></span> </div></a> </div></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="d6069cd7e2c7a9c8006ec6825cb15bf0fc1486b3"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="d6069cd7e2c7a9c8006ec6825cb15bf0fc1486b3" data-heap-citation-type="citingPapers" data-heap-has-intents="false" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/A-New-Approximation-of-the-Gamma-Function-by-the-Wang-Zhang/d6069cd7e2c7a9c8006ec6825cb15bf0fc1486b3?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-d6069cd7e2c7a9c8006ec6825cb15bf0fc1486b3" class="cl-paper-title" tabindex="" aria-describedby="">A New Approximation of the Gamma Function by Expanding the Windschitl’s formula</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="2109570836" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Hongzeng-Wang/2109570836?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Hongzeng Wang</span></span></a></span><span data-heap-id="citation_author" data-heap-author-id="1680759" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Qingling-Zhang/1680759?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Qingling Zhang</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2017</span></span></li> </ul> <div class="cl-paper-abstract"> <span class="" data-test-id="paper-abstract-toggle"><span>In this paper, the authors construct a new approximation of the factorial function and a double inequality for the gamma function which are based on Windschitl’s formula. Moreover, for demonstrating</span><span>… </span><button aria-label="Expand truncated text" tabindex="0" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default more mod-clickable more-toggle"><span class="cl-button__label">Expand</span></button></span> </div> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__actions"> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="ae6ded175f6eef06dcda80da3ec19dd058e8522b"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="ae6ded175f6eef06dcda80da3ec19dd058e8522b" data-heap-citation-type="citingPapers" data-heap-has-intents="false" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/A-New-Approximation-of-the-Gamma-Function-by-the-Wang-Zhang/ae6ded175f6eef06dcda80da3ec19dd058e8522b?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-ae6ded175f6eef06dcda80da3ec19dd058e8522b" class="cl-paper-title" tabindex="" aria-describedby="">A New Approximation of the Gamma Function by Expanding the Windschitl’s formula</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="2109570836" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Hongzeng-Wang/2109570836?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Hongzeng Wang</span></span></a></span><span data-heap-id="citation_author" data-heap-author-id="2191233906" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Qingling-Zhang/2191233906?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Qingling Zhang</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <div class="cl-paper__bulleted-row__item"> <a class="cl-paper-venue cl-paper-venue--paper-metadata" data-heap-id="paper-meta-venue" href="https://www-semanticscholar-org.translate.goog/venue?name=Results+in+Mathematics&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB">Results in Mathematics</a> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2017</span></span></li> </ul> <div class="cl-paper-abstract"> <span class="" data-test-id="paper-abstract-toggle"><span>In this paper, the authors construct a new approximation of the factorial function and a double inequality for the gamma function which are based on Windschitl’s formula. Moreover, for demonstrating</span><span>… </span><button aria-label="Expand truncated text" tabindex="0" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default more mod-clickable more-toggle"><span class="cl-button__label">Expand</span></button></span> </div> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__actions"> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="5392ae6811102d0043e488d6b39d12a47537ae27"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="5392ae6811102d0043e488d6b39d12a47537ae27" data-heap-citation-type="citingPapers" data-heap-has-intents="false" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/A-new-asymptotic-expansion-and-some-inequalities-Lu-Wang/5392ae6811102d0043e488d6b39d12a47537ae27?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-5392ae6811102d0043e488d6b39d12a47537ae27" class="cl-paper-title" tabindex="" aria-describedby="">A new asymptotic expansion and some inequalities for the gamma function</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="48111841" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Dawei-Lu/48111841?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Dawei Lu</span></span></a></span><span data-heap-id="citation_author" data-heap-author-id="2108003635" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Xiaoguang-Wang/2108003635?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Xiaoguang Wang</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2014</span></span></li> </ul> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="32 Citations" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/5392ae6811102d0043e488d6b39d12a47537ae27?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>32 </div></a></li> <li class="cl-paper-stats__item"> <div class="flex-row paper-badge-list"> <a class="link-button--no-underline" href="https://www-semanticscholar-org.translate.goog/paper/5392ae6811102d0043e488d6b39d12a47537ae27?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"> <div class="cl-paper-stat cl-paper-stat__collapsable cl-paper-stat__icon-only cl-paper-stat__adjust-badge-position cl-paper-stats__badge__unpaywall cl-paper-stats__badge-hover" data-test-id="paper-badge-unpaywall" aria-label="This paper has an available open access PDF" data-heap-id="paper_badge_unpaywall"> <span class="cl-paper-stats__combined"> <svg aria-hidden="true" class="cl-paper-stats__icon icon-svg icon-open-access" height="12" width="12" alt="" data-test-id="icon-open-access"> <use xlink:href="#open-access"></use> </svg><span class="cl-paper-stats__symbol">PDF</span></span> </div></a> </div></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> </div> <div class="citation-pagination flex-row-vcenter"> <div class="cl-pager cl-pager--size-default cl-pager--has-next-enabled cl-pager--has-higher-pages" data-curr-page-num="1" data-total-pages="10"> <button disabled aria-label="previous page" class="cl-pager__button cl-pager__prev" data-test-id="previous-page"> <div class="cl-pager__button-label"> <svg aria-hidden="true" alt="" class="icon-svg icon-arrow-lite" data-test-id="icon-arrow-lite"> <use xlink:href="#arrow-lite"></use> </svg> </div></button> <div aria-hidden="true" class="cl-pager__button cl-pager__button--is-disabled cl-pager__lower"> <div class="cl-pager__button-label"> ... </div> </div><button class="cl-pager__button cl-pager__number cl-pager__number--is-active" data-test-id="active-page" aria-label="currently on page 1" data-page-num="1"> <div class="cl-pager__button-label"> 1 </div></button><button class="cl-pager__button cl-pager__number" data-test-id="inactive-page" aria-label="navigate to page 2" data-page-num="2"> <div class="cl-pager__button-label"> 2 </div></button><button class="cl-pager__button cl-pager__number" data-test-id="inactive-page" aria-label="navigate to page 3" data-page-num="3"> <div class="cl-pager__button-label"> 3 </div></button><button class="cl-pager__button cl-pager__number" data-test-id="inactive-page" aria-label="navigate to page 4" data-page-num="4"> <div class="cl-pager__button-label"> 4 </div></button><button class="cl-pager__button cl-pager__number" data-test-id="inactive-page" aria-label="navigate to page 5" data-page-num="5"> <div class="cl-pager__button-label"> 5 </div></button> <div class="cl-pager__button cl-pager__button--is-disabled cl-pager__higher"> <div class="cl-pager__button-label"> ... </div> </div><button aria-label="next page" class="cl-pager__button cl-pager__next" data-test-id="next-page"> <div class="cl-pager__button-label"> <svg aria-hidden="true" alt="" class="icon-svg icon-arrow-lite" data-test-id="icon-arrow-lite"> <use xlink:href="#arrow-lite"></use> </svg> </div></button> </div> </div> </div> </div> </div> <div id="cited-papers" class="card card--type-default cited-papers" tabindex="0"> <div class="card-header"> <div class="dropdown-filters__header dropdown-filters-breakpoints__pdp_cite"> <div class="dropdown-filters__controls"> <h2 class="dropdown-filters__result-count__header dropdown-filters__result-count__citations">3 References</h2> <div class="flex-container flex-row-vcenter dropdown-filters__header__outer-flex-container"> <div class="flex-container flex-row-vcenter dropdown-filters__filter-flex-container"> <form id="citation-search-text-form" class="dropdown-filters__search-within-form" role="search"> <div class="flex-container search-within"> <input type="search" id="search-within-input" autocomplete="off" data-test-id="search-within-input" class="cl-text-input dropdown-filters__search-within-input" name="cite_q" placeholder="Search authors, publications, venues, fields of study" value=""><button aria-label="Submit" class="form-submit form-submit__icon-text" data-test-id="submit-search-within-input"> <div class="flex-row-vcenter"> <svg aria-hidden="true" width="14" height="14" alt="" class="icon-svg icon-search-small" data-test-id="icon-search-small"> <use xlink:href="#search-small"></use> </svg> </div></button> </div> </form> <div class="cl-dropdown cl-dropdown--arrow-pos-top-left search-cite-menu__dropdown"> <div class="cl-dropdown__button"> <button disabled aria-expanded="false" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-default cl-button--density-default cl-dropdown-button"><span class="cl-button__label">Citation Type</span><span class="cl-button__arrow"> <svg aria-hidden="true" height="12" width="12" class="cl-dropdown-button__dropdown-arrow icon-svg icon-disclosure" alt="" data-test-id="icon-disclosure"> <use xlink:href="#disclosure"></use> </svg></span></button> </div> <div class="cl-dropdown__popover"></div> </div> <div class="flex-item fresh-filters__filter_container toggle unselected"> <button aria-pressed="false" class="button button--secondary is-disabled" disabled data-test-id="pdf-available-filter-button" data-heap-id="pdf_available_filter_button">Has PDF</button> </div> <div class="cl-dropdown cl-dropdown--arrow-pos-top-left dropdown-filters__author"> <div class="cl-dropdown__button"> <button disabled aria-expanded="false" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-default cl-button--density-default cl-dropdown-button"><span class="cl-button__label">Author</span><span class="cl-button__arrow"> <svg aria-hidden="true" height="12" width="12" class="cl-dropdown-button__dropdown-arrow icon-svg icon-disclosure" alt="" data-test-id="icon-disclosure"> <use xlink:href="#disclosure"></use> </svg></span></button> </div> <div class="cl-dropdown__popover"></div> </div> <div class="dropdown-filters__modal-button flex-item"> <button disabled type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-secondary cl-button--density-default dropdown-filters__some_filters"><span class="cl-button__label">More Filters</span></button> </div> <div class="dropdown-filters__modal-button flex-item"> <button disabled type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-secondary cl-button--density-default dropdown-filters__more_filters"><span class="cl-button__label">More Filters</span></button> </div> <div class="dropdown-filters__modal-button"> <button disabled type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-secondary cl-button--density-default dropdown-filters__mobile_filters"><span class="cl-button__label">Filters</span></button> </div> </div> <div class="dropdown-filters__sort-control search-sort flex-row-vcenter"> <select class="legacy__select search-sort-select" data-heap-id="sort_select" data-test-id="sort-select"><option selected value="relevance" data-test-id="sort-by-relevance">Sort by Relevance</option><option value="is-influential" data-test-id="sort-by-is-influential">Sort by Most Influenced Papers</option><option value="total-citations" data-test-id="sort-by-total-citations">Sort by Citation Count</option><option value="pub-date" data-test-id="sort-by-pub-date">Sort by Recency</option></select> <svg aria-hidden="true" height="12" width="12" class="dropdown-arrow-icon icon-svg icon-disclosure" alt="" data-test-id="icon-disclosure"> <use xlink:href="#disclosure"></use> </svg> </div> </div> </div> </div> </div> <div class="card-content"> <div class="paper-detail-content-card result-page" data-test-id="reference"> <div class="citation-list__citations"> <div class="cl-paper-row citation-list__paper-row" data-paper-id="e5ca0742993850e9588390c7506714e792c60eaa"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="e5ca0742993850e9588390c7506714e792c60eaa" data-heap-citation-type="citedPapers" data-heap-has-intents="false" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/A-Course-of-Modern-Analysis-Whittaker-Watson/e5ca0742993850e9588390c7506714e792c60eaa?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-e5ca0742993850e9588390c7506714e792c60eaa" class="cl-paper-title" tabindex="" aria-describedby="">A Course of Modern Analysis</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="40691894" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Edmund-Taylor-Whittaker/40691894?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Edmund Taylor Whittaker</span></span></a></span><span data-heap-id="citation_author" data-heap-author-id="101159099" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/G.-Watson/101159099?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>G. Watson</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>2021</span></span></li> </ul> <div class="tldr-abstract-replacement text-truncator"> <div class="cl-dropdown cl-dropdown--arrow-pos-top-left tldr-abstract__pill"> <div class="cl-dropdown__button"> <button type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-default cl-button--density-default tldr-abstract-replacement__pill mod-clickable"><span class="cl-button__label">TLDR</span></button> </div> <div class="cl-dropdown__popover"></div> </div><span class=""><span>The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.</span></span><button aria-label="Expand truncated text" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default more mod-clickable more-toggle"><span class="cl-button__label">Expand</span></button> </div> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="6,000 Citations" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/e5ca0742993850e9588390c7506714e792c60eaa?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>6,000 </div></a></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="b6ef833c7e9cf1034e193a730a7fc241992cf7b2"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="b6ef833c7e9cf1034e193a730a7fc241992cf7b2" data-heap-citation-type="citedPapers" data-heap-has-intents="false" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/The-lost-notebook-and-other-unpublished-papers-Aiyangar-Andrews/b6ef833c7e9cf1034e193a730a7fc241992cf7b2?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-b6ef833c7e9cf1034e193a730a7fc241992cf7b2" class="cl-paper-title" tabindex="" aria-describedby="">The lost notebook and other unpublished papers</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="100753669" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/Srinivasa-Ramanujan-Aiyangar/100753669?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>Srinivasa Ramanujan Aiyangar</span></span></a></span><span data-heap-id="citation_author" data-heap-author-id="1884875" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/G.-Andrews/1884875?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>G. Andrews</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>1988</span></span></li> </ul> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="1,168 Citations" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/b6ef833c7e9cf1034e193a730a7fc241992cf7b2?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>1,168 </div></a></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> <div class="cl-paper-row citation-list__paper-row" data-paper-id="bc76fe8e808fe633722d15506351dc3677ac4617"> <a class="link-button--show-visited" data-heap-id="citation_title" data-heap-paper-id="bc76fe8e808fe633722d15506351dc3677ac4617" data-heap-citation-type="citedPapers" data-heap-has-intents="false" data-test-id="citation-paper-title" href="https://www-semanticscholar-org.translate.goog/paper/Asymptotic-Expansions%3A-Frontmatter-Copson/bc76fe8e808fe633722d15506351dc3677ac4617?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><h3 id="paper-bc76fe8e808fe633722d15506351dc3677ac4617" class="cl-paper-title" tabindex="" aria-describedby="">Asymptotic Expansions: Frontmatter</h3></a> <ul class="cl-paper__bulleted-row"> <span class="cl-paper-authors"><span data-heap-id="citation_author" data-heap-author-id="39481953" data-test-id="author-list"><a class="cl-paper-authors__author-box notranslate cl-paper-authors__author-box__with-background" href="https://www-semanticscholar-org.translate.goog/author/E.-Copson/39481953?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"><span class=""><span>E. Copson</span></span></a></span></span> <div class="cl-paper__bulleted-row__item"> <span class="cl-paper-fos">Mathematics</span> </div> <li class="cl-paper__bulleted-row__item"><span class="cl-paper-pubdates"><span>1965</span></span></li> </ul> <div class="cl-paper__bulleted-row cl-paper-controls"> <div class="cl-paper-controls__stats"> <ul class="cl-paper-stats-list" data-test-id="citation-stats"> <li aria-label="326 Citations" class="cl-paper-stats__item"><a aria-label="Visit citations for this paper" href="https://www-semanticscholar-org.translate.goog/paper/bc76fe8e808fe633722d15506351dc3677ac4617?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers" class="cl-paper-stats__citation-pdp-link"> <div class="cl-paper-stat"> <svg aria-hidden="true" width="12" height="12" class="cl-paper-stats__icon icon-svg icon-cited-by" alt="" data-test-id="icon-cited-by"> <use xlink:href="#cited-by"></use> </svg>326 </div></a></li> </ul> </div> <div class="cl-paper-controls__actions"> <div class="flex-row cl-paper-actions"> <div class="cl-paper-action__button-container"> <button aria-label="Save to Library" data-heap-id="save_to_library" data-test-id="cl-paper-library" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--has-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-tertiary cl-button--density-default cl-icon-button cl-paper-action__button cl-paper-action__button__library-button cl-paper-action__button--blue-outline"><span class="cl-button__icon"> <svg aria-hidden="true" height="11" width="11" alt="" class="icon-svg icon-fa-bookmark" data-test-id="icon-fa-bookmark"> <use xlink:href="#fa-bookmark"></use> </svg></span><span class="cl-button__label">Save</span></button> </div> </div> </div> </div> <div class="cl-paper-controls__expanded-content"></div> </div> </div> </div> </div> </div> <div id="related-papers" class="similar-papers" tabindex="0"> <h2 class="card-header-title__carousel">Related Papers</h2> <div class="carousel-container"> <p aria-atomic="true" aria-live="polite" class="screen-reader-only">Showing 1 through 3 of 0 Related Papers</p> <ul class="carousel-indicators"></ul> <div class="content-wrapper"> <span> <div class="flex-container similar-papers__body"> <div class="flex-item similar-papers__card"> <div class="similar-papers-card__fold"></div> <div class="similar-papers__shimmer"></div> </div> <div class="flex-item similar-papers__card"> <div class="similar-papers-card__fold"></div> <div class="similar-papers__shimmer"></div> </div> <div class="flex-item similar-papers__card"> <div class="similar-papers-card__fold"></div> <div class="similar-papers__shimmer"></div> </div> </div></span> </div> </div> </div> </div> </div> <div class="paper-detail-page__paper-nav"> <div class="paper-nav"> <div class="paper-nav__placeholder"> <nav class="paper-nav__nav"> <div class="paper-nav__scrollable"> <ul class="paper-nav__nav-list"> <li class="paper-nav__nav-item"><a class="paper-nav__nav-link" data-heap-id="paper_nav_target" data-heap-nav="citing-papers" href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#citing-papers"><span class="paper-nav__nav-label">100 Citations</span></a></li> <li class="paper-nav__nav-item"><a class="paper-nav__nav-link" data-heap-id="paper_nav_target" data-heap-nav="cited-papers" href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cited-papers"><span class="paper-nav__nav-label">3 References</span></a></li> <li class="paper-nav__nav-item"><a class="paper-nav__nav-link" data-heap-id="paper_nav_target" data-heap-nav="related-papers" href="https://www-semanticscholar-org.translate.goog/paper/New-asymptotic-expansion-for-the-Gamma-function-Nemes/215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#related-papers"><span class="paper-nav__nav-label">Related Papers</span></a></li> </ul> </div> </nav> </div> </div> </div><button aria-label="Scroll to top of page" type="submit" class="cl-button cl-button--no-arrow-divider cl-button--is-icon-only cl-button--has-icon cl-button--no-label cl-button--font-size- cl-button--icon-pos-up cl-button--shape-rectangle cl-button--size-default cl-button--type-secondary cl-button--density-default button__scroll-top button__scroll-top--hidden"><span class="cl-button__icon"> <svg aria-hidden="true" width="16" height="24" alt="" class="icon-svg icon-arrow-up" data-test-id="icon-arrow-up"> <use xlink:href="#arrow-up"></use> </svg></span></button> </div> </div> <div class="app-page__footer"> <footer class="footer" role="contentinfo"> <section class="page-section subscribe-tile tile padded light"> <div class="container flex-row-vcenter subscribe-tile__container" aria-label="Newsletter Subscribe"> <div class="subscribe-tile__blurb"> Stay Connected With Semantic Scholar </div> <div class="subscribe-form"> <input type="text" class="cl-text-input subscribe-form__input" placeholder="Your E-mail Address" value=""><button type="submit" class="cl-button cl-button--no-arrow-divider cl-button--not-icon-only cl-button--no-icon cl-button--has-label cl-button--font-size- cl-button--icon-pos-left cl-button--shape-rectangle cl-button--size-default cl-button--type-primary cl-button--density-default subscribe-form__submit-button"><span class="cl-button__label">Sign Up</span></button> </div> </div> </section> <section class="page-section about-us-section"> <div class="container about-us-container"> <div class="about-us__links-about-s2"> <h2>What Is Semantic Scholar?</h2> <p>Semantic Scholar is a free, AI-powered research tool for scientific literature, based at Ai2.</p><a href="https://www-semanticscholar-org.translate.goog/about?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="Learn More">Learn More</a> </div> <div class="about-us__link-group"> <div class="about-us__link-list"> <h3>About</h3><a href="https://www-semanticscholar-org.translate.goog/about?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="About Us">About Us</a><a href="https://www-semanticscholar-org.translate.goog/about/publishers?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="Publishers">Publishers</a><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://medium.com/ai2-blog/semantic-scholar/home" target="_blank" rel="noopener " class="flex-row about-link" aria-label="Blog">Blog<span class="screen-reader-only"> (opens in a new tab)</span></a><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://allenai.org/careers?team%3Dsemantic%2Bscholar%23current-openings" target="_blank" rel="noopener " class="flex-row about-link" aria-label="Ai2 Careers">Ai2 Careers<span class="screen-reader-only"> (opens in a new tab)</span></a> </div> <div class="about-us__link-list"> <h3>Product</h3><a href="https://www-semanticscholar-org.translate.goog/product?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="Product Overview">Product Overview</a><a href="https://www-semanticscholar-org.translate.goog/product/semantic-reader?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="Semantic Reader">Semantic Reader</a><a href="https://www-semanticscholar-org.translate.goog/product/scholars-hub?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="Scholar's Hub">Scholar's Hub</a><a href="https://www-semanticscholar-org.translate.goog/product/beta-program?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="Beta Program">Beta Program</a><a href="https://www-semanticscholar-org.translate.goog/product/release-notes?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="Release Notes">Release Notes</a> </div> <div class="about-us__link-list"> <h3>API</h3><a href="https://www-semanticscholar-org.translate.goog/product/api?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="API Overview">API Overview</a><a href="https://www-semanticscholar-org.translate.goog/product/api%2Ftutorial?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="API Tutorials">API Tutorials</a><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://api.semanticscholar.org/api-docs/" target="_blank" rel="noopener " class="flex-row about-link" aria-label="API Documentation">API Documentation<span class="screen-reader-only"> (opens in a new tab)</span></a><a href="https://www-semanticscholar-org.translate.goog/product/api%2Fgallery?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="API Gallery">API Gallery</a> </div> <div class="about-us__link-list"> <h3>Research</h3><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://allenai.org/papers?tag%3DSemantic%2520Scholar" target="_blank" rel="noopener " class="flex-row about-link" aria-label="Publications">Publications<span class="screen-reader-only"> (opens in a new tab)</span></a><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://allenai.org/careers" target="_blank" rel="noopener " class="flex-row about-link" aria-label="Research Careers">Research Careers<span class="screen-reader-only"> (opens in a new tab)</span></a><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://allenai.org/ai-for-science" target="_blank" rel="noopener " class="flex-row about-link" aria-label="Resources">Resources<span class="screen-reader-only"> (opens in a new tab)</span></a> </div> <div class="about-us__link-list"> <h3>Help</h3><a href="https://www-semanticscholar-org.translate.goog/faq?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row faq-link" aria-label="FAQ">FAQ</a><a href="https://www-semanticscholar-org.translate.goog/about/librarians?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="Librarians">Librarians</a><a href="https://www-semanticscholar-org.translate.goog/product/tutorials?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="flex-row about-link" aria-label="Tutorials">Tutorials</a><button class="flex-row feedback-link link-button" aria-label="Contact" data-test-id="footer-feedback-link">Contact</button> </div> </div> </div> </section> <section class="page-section footer__bottom-links__section"> <div class="container flex-row-vcenter footer__bottom-links__container"> <div> <div class="footer__row"> Proudly built by <a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://allenai.org" target="_blank" rel="noopener " data-test-id="footer-ai2-link">Ai2<span class="screen-reader-only"> (opens in a new tab)</span></a> </div> <div class="footer__row"> <span class="collab-attributions-link"><button class="link-button" data-test-id="footer-collab-link">Collaborators & Attributions </button></span>•<a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://allenai.org/terms" target="_blank" rel="noopener " class="tos-link" data-test-id="footer-tos-link" aria-label="Terms of Service">Terms of Service<span class="screen-reader-only"> (opens in a new tab)</span></a>•<a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://allenai.org/privacy-policy.html" target="_blank" rel="noopener " class="pp-link" data-test-id="footer-privacy-link" aria-label="Privacy Policy">Privacy Policy<span class="screen-reader-only"> (opens in a new tab)</span></a>•<a target="_blank" class="api-license-link link-button--in-new-tab" data-test-id="footer-api-license-link" aria-label="API License Agreement" href="https://www-semanticscholar-org.translate.goog/product/api/license?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB">API License Agreement</a> </div> </div><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://allenai.org" target="_blank" rel="noopener " class="footer-ai2-logo flex-right" aria-label="The Allen Institute for AI">The Allen Institute for AI<span class="screen-reader-only"> (opens in a new tab)</span></a> </div> </section> </footer> </div> </div> <div class="shelf-manager"> <span></span> </div> <div class="cookie-banner" data-test-id="cookie-banner"> <div class="cookie-banner__content"> <div class="cookie-banner__message"> <span class="cookie-banner__message-body">By clicking accept or continuing to use the site, you agree to the terms outlined in our <a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://allenai.org/privacy-policy.html" target="_blank" rel="noopener " class="cookie-banner__copyright-link">Privacy Policy<span class="screen-reader-only"> (opens in a new tab)</span></a>, <a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://allenai.org/terms" target="_blank" rel="noopener " class="cookie-banner__copyright-link">Terms of Service<span class="screen-reader-only"> (opens in a new tab)</span></a>, and <a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://api.semanticscholar.org/corpus/legal" target="_blank" rel="noopener " class="cookie-banner__copyright-link">Dataset License<span class="screen-reader-only"> (opens in a new tab)</span></a></span> </div> <div class="cookie-banner__actions"> <button class="cookie-banner__action-btn button button--secondary" data-test-id="cookie-banner__dismiss-btn" data-heap-id="cookie_banner_accept">ACCEPT & CONTINUE</button> </div> </div> </div> <svg xmlns="http://www.w3.org/2000/svg" style="display:none"> <symbol id="arrow-lite" viewbox="0 0 12 8.07"> <path d="M12,4.04c0-0.01-0.01-0.03-0.01-0.04c0-0.05-0.01-0.1-0.03-0.15c-0.01-0.02-0.02-0.03-0.03-0.04 c-0.02-0.04-0.04-0.09-0.08-0.12L8.32,0.14C8.12-0.05,7.8-0.05,7.61,0.15c-0.19,0.19-0.19,0.51,0,0.71l2.67,2.67H0.5 C0.22,3.53,0,3.76,0,4.04s0.22,0.5,0.5,0.5h9.79L7.61,7.22c-0.19,0.19-0.19,0.51,0,0.71c0.19,0.19,0.51,0.19,0.71,0l3.54-3.54 C11.95,4.3,12,4.17,12,4.04z"></path> </symbol><symbol id="arrow-up" viewbox="0 0 16 24"> <path d="M8.00869 9.80912e-08C7.98888 9.78485e-08 7.94924 0.0200006 7.92943 0.0200006C7.83034 0.0200006 7.73125 0.04 7.63217 0.08C7.59253 0.1 7.57271 0.119999 7.5529 0.139999C7.47363 0.179999 7.37454 0.219999 7.31509 0.299999L0.279966 7.36C-0.0965613 7.76 -0.0965613 8.4 0.299784 8.78C0.676311 9.16 1.31046 9.16 1.70681 8.78L6.99801 3.44L6.99801 23C6.99801 23.56 7.45381 24 8.00869 24C8.56358 24 8.99956 23.56 8.99956 23L8.99956 3.42L14.3106 8.78C14.6871 9.16 15.3213 9.16 15.7176 8.78C16.0941 8.4 16.0941 7.76 15.7176 7.36L8.7023 0.280001C8.52394 0.100001 8.26632 1.01247e-07 8.00869 9.80912e-08Z"></path> </symbol><symbol id="cited-by" viewbox="0 0 36 36"> <path d="M12.4,18c0.9,0,1.7,0.3,2.4,1s1,1.5,1,2.4v9c0,0.9-0.3,1.7-1,2.4s-1.5,1-2.4,1h-9c-0.9,0-1.7-0.3-2.4-1s-1-1.5-1-2.4V13.5 c0-2,0.5-3.9,1.5-5.6s2.4-3.1,4.1-4.1s3.6-1.5,5.6-1.5h0.6c0.5,0,0.9,0.2,1.2,0.5s0.5,0.7,0.5,1.2v3.4c0,0.5-0.2,0.9-0.5,1.2 S12.3,9,11.8,9h-0.6C10,9,9,9.4,8.1,10.3s-1.3,1.9-1.3,3.2V18H12.4z M32.6,18c0.9,0,1.7,0.3,2.4,1s1,1.5,1,2.4v9 c0,0.9-0.3,1.7-1,2.4s-1.5,1-2.4,1h-9c-0.9,0-1.7-0.3-2.4-1s-1-1.5-1-2.4V13.5c0-2,0.5-3.9,1.5-5.6s2.4-3.1,4.1-4.1s3.6-1.5,5.6-1.5 h0.6c0.5,0,0.9,0.2,1.2,0.5s0.5,0.7,0.5,1.2v3.4c0,0.5-0.2,0.9-0.5,1.2S32.5,9,32.1,9h-0.6c-1.2,0-2.3,0.4-3.2,1.3S27,12.3,27,13.5 V18H32.6z"></path> </symbol><symbol id="disclosure" viewbox="0 0 32 32"> <path d="M23.129,16.001c0,0.475-0.182,0.951-0.545,1.312L9.498,30.4l-2.626-2.626l11.774-11.773L6.872,4.228l2.626-2.627 l13.086,13.088C22.947,15.05,23.129,15.525,23.129,16.001z"></path> </symbol><symbol id="excerpt" viewbox="0 0 27.43 24"> <path d="M1,4.41a.91.91,0,0,1-.7-.28A.93.93,0,0,1,0,3.43V1A.91.91,0,0,1,.28.28.91.91,0,0,1,1,0H26.45a.93.93,0,0,1,.7.28.91.91,0,0,1,.28.7V3.43a1,1,0,0,1-1,1ZM1,14.2a.94.94,0,0,1-1-1V10.78a.94.94,0,0,1,1-1H26.45a.94.94,0,0,1,1,1v2.44a.94.94,0,0,1-1,1ZM1,24a.91.91,0,0,1-.7-.28A.91.91,0,0,1,0,23V20.57a.93.93,0,0,1,.28-.7.91.91,0,0,1,.7-.28H18.45a1,1,0,0,1,1,1V23a.91.91,0,0,1-.28.7.93.93,0,0,1-.7.28Z"></path> </symbol><symbol id="fa-bell" viewbox="0 0 21 24"> <path d="M21,18a1.5,1.5,0,0,1-1.5,1.5H1.5A1.5,1.5,0,0,1,.4,17C1.31,16,3,14.55,3,9.75A7.39,7.39,0,0,1,9,2.48v-1a1.5,1.5,0,0,1,3,0v1a7.41,7.41,0,0,1,6,7.27c0,4.8,1.69,6.26,2.6,7.23A1.48,1.48,0,0,1,21,18ZM7.5,21h6a3,3,0,0,1-6,0Z"></path> </symbol><symbol id="fa-bookmark" viewbox="0 0 18 24"> <path d="M0,2.25A2.25,2.25,0,0,1,2.25,0h13.5A2.25,2.25,0,0,1,18,2.25V24L9,18.75,0,24Z"></path> </symbol><symbol id="fa-link" viewbox="0 0 36 36"> <path d="M22.99,28.12c-0.01,0.01-0.02,0.02-0.02,0.03l-4.73,4.73c-4.17,4.17-10.95,4.17-15.11,0c-4.17-4.17-4.17-10.95,0-15.12 l2.61-2.61c0.69-0.69,1.88-0.23,1.92,0.75c0.05,1.25,0.27,2.5,0.68,3.71c0.14,0.41,0.04,0.86-0.27,1.17l-0.92,0.92 c-1.97,1.97-2.03,5.18-0.08,7.17c1.97,2.01,5.21,2.02,7.2,0.04l4.72-4.72c1.98-1.98,1.98-5.19,0-7.16 c-0.26-0.26-0.52-0.46-0.73-0.6c-0.26-0.18-0.47-0.57-0.49-0.89c-0.03-0.74,0.24-1.51,0.82-2.1l1.48-1.48 c0.39-0.39,1-0.44,1.45-0.12c0.43,0.3,1.07,0.84,1.44,1.21C27.17,17.24,27.11,23.98,22.99,28.12z M32.87,18.24l-2.61,2.61 c-0.69,0.69-1.88,0.23-1.92-0.75c-0.05-1.25-0.27-2.5-0.68-3.71c-0.14-0.41-0.04-0.86,0.27-1.17l0.92-0.92 c1.97-1.97,2.03-5.18,0.08-7.17c-1.97-2.01-5.21-2.02-7.19-0.04l-4.72,4.72c-1.98,1.98-1.98,5.19,0,7.16 c0.26,0.26,0.52,0.46,0.73,0.6c0.26,0.18,0.47,0.57,0.49,0.89c0.03,0.74-0.24,1.51-0.82,2.1l-1.48,1.48 c-0.39,0.39-1,0.44-1.45,0.12c-0.43-0.3-1.07-0.84-1.44-1.21c-4.2-4.21-4.14-10.95-0.02-15.09c0.01-0.01,0.02-0.02,0.02-0.03 l4.73-4.73c4.17-4.17,10.95-4.17,15.12,0C37.04,7.29,37.04,14.07,32.87,18.24z"></path> </symbol><symbol id="fa-link-out" viewbox="0 0 24 24"> <path d="M24,21.43A2.57,2.57,0,0,1,21.43,24H2.57A2.57,2.57,0,0,1,0,21.43V2.57A2.57,2.57,0,0,1,2.57,0H21.43A2.57,2.57,0,0,1,24,2.57Zm-10.71-18a1.28,1.28,0,0,0-.9,2.19L14.1,7.34,3.62,17.82a.65.65,0,0,0,0,.91l1.66,1.66a.65.65,0,0,0,.91,0L16.67,9.91l1.72,1.71a1.28,1.28,0,0,0,2.19-.91v-6a1.29,1.29,0,0,0-1.29-1.28Z"></path> </symbol><symbol id="fa-quote" viewbox="0 0 27.43 24"> <path d="M12,14.57v6.86A2.57,2.57,0,0,1,9.43,24H2.57A2.57,2.57,0,0,1,0,21.43V8.57A8.57,8.57,0,0,1,8.57,0H9a1.29,1.29,0,0,1,1.29,1.29V3.86A1.29,1.29,0,0,1,9,5.15H8.57A3.44,3.44,0,0,0,5.14,8.58V12H9.43A2.57,2.57,0,0,1,12,14.57Zm15.43,0v6.86A2.57,2.57,0,0,1,24.86,24H18a2.57,2.57,0,0,1-2.57-2.57V8.57A8.57,8.57,0,0,1,24,0h.43a1.29,1.29,0,0,1,1.29,1.29V3.86a1.29,1.29,0,0,1-1.29,1.29H24a3.44,3.44,0,0,0-3.43,3.43V12h4.29A2.57,2.57,0,0,1,27.43,14.57Z"></path> </symbol><symbol id="information" viewbox="0 0 36 36"> <path d="M18,0c3.24,0,6.24,0.81,9,2.43S31.95,6.24,33.57,9c1.62,2.76,2.43,5.76,2.43,9s-0.81,6.24-2.43,9 c-1.62,2.76-3.81,4.95-6.57,6.57C24.24,35.19,21.24,36,18,36s-6.24-0.81-9-2.43C6.24,31.95,4.05,29.76,2.43,27S0,21.24,0,18 s0.81-6.24,2.43-9S6.24,4.05,9,2.43S14.76,0,18,0z M22.06,26.42v-1.74c0-0.24-0.08-0.45-0.25-0.62s-0.38-0.25-0.62-0.25h-0.87v-7.26 c0-0.24-0.08-0.45-0.25-0.62s-0.38-0.25-0.62-0.25h-4.65c-0.24,0-0.45,0.08-0.62,0.25s-0.25,0.38-0.25,0.62v1.74 c0,0.24,0.08,0.45,0.25,0.62c0.17,0.17,0.38,0.25,0.62,0.25h0.87v4.65h-0.87c-0.24,0-0.45,0.08-0.62,0.25s-0.25,0.38-0.25,0.62v1.74 c0,0.24,0.08,0.45,0.25,0.62c0.17,0.17,0.38,0.25,0.62,0.25h6.39c0.24,0,0.45-0.08,0.62-0.25C21.98,26.87,22.06,26.66,22.06,26.42z M18,7.98c-0.82,0-1.54,0.3-2.14,0.91c-0.6,0.6-0.91,1.32-0.91,2.14s0.3,1.54,0.91,2.14c0.6,0.6,1.32,0.91,2.14,0.91 s1.54-0.3,2.14-0.91c0.6-0.6,0.91-1.32,0.91-2.14s-0.3-1.54-0.91-2.14C19.54,8.29,18.82,7.98,18,7.98z"></path> </symbol><symbol id="open-access" viewbox="0 0 22.7 36"> <path d="M11.4,21.5c-1.8,0-3.2,1.4-3.2,3.2s1.4,3.2,3.2,3.2c1.8,0,3.2-1.4,3.2-3.2S13.1,21.5,11.4,21.5z M21.8,20.2 c-0.2-0.5-0.5-1.1-0.8-1.6v-9c0-2.6-1-5-2.8-6.8C16.4,1,13.9,0,11.4,0h0c-2.6,0-5,1-6.8,2.8C2.7,4.6,1.7,7.1,1.7,9.6v1.3h3.9V9.6 c0-1.5,0.6-3,1.7-4.1c1.1-1.1,2.5-1.7,4.1-1.7h0c3.2,0,5.8,2.6,5.8,5.8v5.3c-0.4-0.3-0.9-0.5-1.4-0.7c-1.4-0.6-2.9-0.9-4.4-0.9 c-1.5,0-3,0.3-4.4,0.9c-1.4,0.6-2.6,1.4-3.6,2.4c-1,1-1.9,2.3-2.4,3.6C0.3,21.6,0,23.1,0,24.6c0,1.5,0.3,3,0.9,4.4 c0.6,1.4,1.4,2.6,2.4,3.6c1,1,2.3,1.9,3.6,2.4c1.4,0.6,2.9,0.9,4.4,0.9c1.5,0,3-0.3,4.4-0.9c1.4-0.6,2.6-1.4,3.6-2.4 c1-1,1.9-2.3,2.4-3.6c0.6-1.4,0.9-2.9,0.9-4.4C22.7,23.1,22.4,21.6,21.8,20.2z M11.4,32.1c-4.1,0-7.5-3.4-7.5-7.5s3.4-7.5,7.5-7.5 s7.5,3.4,7.5,7.5S15.5,32.1,11.4,32.1z"></path> </symbol><symbol id="search-small" viewbox="0 0 36 36"> <path d="M25.73,22.64H24.1l-0.58-0.56c2.02-2.35,3.23-5.39,3.23-8.71C26.76,5.99,20.77,0,13.38,0S0,5.99,0,13.38 s5.99,13.38,13.38,13.38c3.31,0,6.36-1.21,8.71-3.23l0.56,0.58v1.63L32.93,36L36,32.93L25.73,22.64z M13.38,22.64 c-5.13,0-9.26-4.14-9.26-9.26s4.14-9.26,9.26-9.26s9.26,4.14,9.26,9.26S18.5,22.64,13.38,22.64z"></path> </symbol><symbol id="semantic-reader" viewbox="138 138 157 157"> <path d="M274.06,162.15a10.14,10.14,0,0,1,1.8.17,9.43,9.43,0,0,1,7.61,9.15v0a9.42,9.42,0,0,1-7.64,9.15,9.56,9.56,0,0,1-1.77.17H171.52a29.37,29.37,0,0,0,1.55-9.21v-.26a29.37,29.37,0,0,0-1.55-9.21H274.06m-119.63-10c-.27,0-1.43,0-1.73.75a1.36,1.36,0,0,0,.52,1.76,19.4,19.4,0,0,1,9.85,16.77v.12a19.39,19.39,0,0,1-9.85,16.77,1.36,1.36,0,0,0-.52,1.76c.3.71,1.46.75,1.73.75H274.06a19.4,19.4,0,0,0,19.41-19.28v-.12a19.4,19.4,0,0,0-19.41-19.28H154.43Z" fill="#F4D35E" stroke-linecap="round" stroke-linejoin="round"></path> <path d="M278.3,206.76h0m-17.4,0a29.1,29.1,0,0,0-1.56,9.22v.25a29,29,0,0,0,1.56,9.21H158.35a9.11,9.11,0,0,1-1.79-.17,9.41,9.41,0,0,1-7.61-9.14v0a9.42,9.42,0,0,1,7.63-9.15,9.56,9.56,0,0,1,1.77-.17H260.9m17.08-10H158.35a18.49,18.49,0,0,0-3.67.36A19.39,19.39,0,0,0,139,216.05v.12a19.4,19.4,0,0,0,19.4,19.28H278c.28,0,1.44-.05,1.73-.76a1.35,1.35,0,0,0-.52-1.76,19.41,19.41,0,0,1-9.85-16.77v-.12a19.43,19.43,0,0,1,9.85-16.77,1.34,1.34,0,0,0,.52-1.75c-.29-.72-1.45-.76-1.73-.76Z" fill="#1857B6" stroke-linecap="round" stroke-linejoin="round"></path> <path d="M274.06,251.58a9.31,9.31,0,0,1,1.8.18,9.42,9.42,0,0,1,7.61,9.14V261a9.44,9.44,0,0,1-7.64,9.15,9.56,9.56,0,0,1-1.77.17H171.52a29.43,29.43,0,0,0,1.55-9.22v-.25a29.38,29.38,0,0,0-1.55-9.22H274.06m-119.63-10c-.27,0-1.43,0-1.73.76a1.36,1.36,0,0,0,.52,1.76,19.39,19.39,0,0,1,9.85,16.76V261a19.37,19.37,0,0,1-9.85,16.76,1.37,1.37,0,0,0-.52,1.76c.3.71,1.46.76,1.73.76H274.06A19.46,19.46,0,0,0,293.47,261v-.13a19.46,19.46,0,0,0-19.41-19.28H154.43Z" fill="#0F3875" stroke-linecap="round" stroke-linejoin="round"></path> </symbol> </svg> </div> <style>#app { display: initial; }</style> <script></script> <script type="text/javascript" id="hs-script-loader" async defer src="//js.hs-scripts.com/5910970.js"></script> <noscript> <iframe src="https://www.googletagmanager.com/ns.html?id=GTM-592W6WL" height="0" width="0" style="display:none;visibility:hidden"></iframe> </noscript> <script>var DATA = '%5B%7B%22actionType%22%3A%22API_REQUEST_COMPLETE%22%2C%22requestType%22%3A%22GQL__TOTAL_PAPER_COUNT%22%2C%22resultData%22%3A%7B%22data%22%3A%7B%22corpusInfo%22%3A%7B%22paperCount%22%3A224413105%7D%7D%7D%2C%22path%22%3A%22%2Fgraphql%22%2C%22requestId%22%3A78058%2C%22pathParams%22%3A%7B%7D%2C%22responseStatus%22%3A200%2C%22context%22%3A%7B%22variables%22%3A%7B%7D%7D%7D%2C%7B%22actionType%22%3A%22API_REQUEST_COMPLETE%22%2C%22requestType%22%3A%22PAPER_DETAIL%22%2C%22resultData%22%3A%7B%22responseType%22%3A%22PAPER_DETAIL%22%2C%22paper%22%3A%7B%22id%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%2C%22corpusId%22%3A121820640%2C%22title%22%3A%7B%22text%22%3A%22New%20asymptotic%20expansion%20for%20the%20Gamma%20function%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22New-asymptotic-expansion-for-the-Gamma-function-Nemes%22%2C%22paperAbstract%22%3A%7B%22text%22%3A%22Using%20a%20series%20transformation%2C%20the%20Stirling-De%20Moivre%20asymptotic%20series%20approximation%20to%20the%20Gamma%20function%20is%20converted%20into%20a%20new%20one%20with%20better%20convergence%20properties.%20The%20new%20formula%20is%20being%20compared%20with%20those%20of%20Stirling%2C%20Laplace%2C%20and%20Ramanujan%20for%20real%20arguments%20greater%20than%200.5%20and%20turns%20out%20to%20be%2C%20for%20equal%20number%20of%20%E2%80%9Ccorrection%E2%80%9D%20terms%2C%20numerically%20superior%20to%20all%20of%20them.%20As%20a%20side%20benefit%2C%20a%20closed-form%20approximation%20has%20turned%20up%20during%20the%20analysis%20which%20is%20about%20as%20good%20as%203rd%20order%20Stirling%E2%80%99s%20(maximum%20relative%20error%20smaller%20than%201e%20%E2%88%92%2010%20for%20real%20arguments%20greater%20or%20equal%20to%2024).%22%2C%22fragments%22%3A%5B%5D%7D%2C%22paperAbstractTruncated%22%3A%22Using%20a%20series%20transformation%2C%20the%20Stirling-De%20Moivre%20asymptotic%20series%20approximation%20to%20the%20Gamma%20function%20is%20converted...%22%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22G.%20Nemes%22%2C%22ids%22%3A%5B%2247688163%22%5D%2C%22slug%22%3A%22G.-Nemes%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Gerg%C5%91%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Nemes%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22G.%20Nemes%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22structuredAuthors%22%3A%5B%7B%22firstName%22%3A%22Gerg%C5%91%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Nemes%22%7D%5D%2C%22year%22%3A%7B%22text%22%3A%222010%22%2C%22fragments%22%3A%5B%5D%7D%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22venueId%22%3A%22%22%2C%22citationContexts%22%3A%5B%5D%2C%22citationStats%22%3A%7B%22citedByBuckets%22%3A%5B%7B%22startKey%22%3A2009%2C%22endKey%22%3A2009%2C%22count%22%3A1%7D%2C%7B%22startKey%22%3A2010%2C%22endKey%22%3A2010%2C%22count%22%3A3%7D%2C%7B%22startKey%22%3A2011%2C%22endKey%22%3A2011%2C%22count%22%3A2%7D%2C%7B%22startKey%22%3A2012%2C%22endKey%22%3A2012%2C%22count%22%3A9%7D%2C%7B%22startKey%22%3A2013%2C%22endKey%22%3A2013%2C%22count%22%3A6%7D%2C%7B%22startKey%22%3A2014%2C%22endKey%22%3A2014%2C%22count%22%3A11%7D%2C%7B%22startKey%22%3A2015%2C%22endKey%22%3A2015%2C%22count%22%3A9%7D%2C%7B%22startKey%22%3A2016%2C%22endKey%22%3A2016%2C%22count%22%3A11%7D%2C%7B%22startKey%22%3A2017%2C%22endKey%22%3A2017%2C%22count%22%3A14%7D%2C%7B%22startKey%22%3A2018%2C%22endKey%22%3A2018%2C%22count%22%3A9%7D%2C%7B%22startKey%22%3A2019%2C%22endKey%22%3A2019%2C%22count%22%3A7%7D%2C%7B%22startKey%22%3A2020%2C%22endKey%22%3A2020%2C%22count%22%3A2%7D%2C%7B%22startKey%22%3A2021%2C%22endKey%22%3A2021%2C%22count%22%3A6%7D%2C%7B%22startKey%22%3A2022%2C%22endKey%22%3A2022%2C%22count%22%3A1%7D%2C%7B%22startKey%22%3A2023%2C%22endKey%22%3A2023%2C%22count%22%3A5%7D%2C%7B%22startKey%22%3A2024%2C%22endKey%22%3A2024%2C%22count%22%3A3%7D%2C%7B%22startKey%22%3A2025%2C%22endKey%22%3A2025%2C%22count%22%3A1%7D%5D%2C%22keyCitedByBuckets%22%3A%5B%5D%2C%22numCitations%22%3A100%2C%22estNumCitations%22%3A93.52613161717873%2C%22numReferences%22%3A3%2C%22numKeyCitations%22%3A5%2C%22numKeyReferences%22%3A0%2C%22numViewableReferences%22%3A3%2C%22keyCitationRate%22%3A0.05%2C%22firstCitationVelocityYear%22%3A2022%2C%22lastCitationVelocityYear%22%3A2024%7D%2C%22earliestAcquisitionsDate%22%3A1555679571.251%2C%22journal%22%3A%7B%22name%22%3A%22Archiv%20der%20Mathematik%22%2C%22volume%22%3A%2295%22%2C%22pages%22%3A%22161-169%22%7D%2C%22doiInfo%22%3A%7B%22doi%22%3A%2210.1007%2FS00013-010-0146-9%22%2C%22doiUrl%22%3A%22https%3A%2F%2Fdoi.org%2F10.1007%2FS00013-010-0146-9%22%7D%2C%22links%22%3A%5B%7B%22url%22%3A%22https%3A%2F%2Fdoi.org%2F10.1007%2FS00013-010-0146-9%22%2C%22linkType%22%3A%22publisher%22%2C%22publisherName%22%3A%22Springer%22%7D%5D%2C%22primaryPaperLink%22%3A%7B%22url%22%3A%22https%3A%2F%2Fdoi.org%2F10.1007%2FS00013-010-0146-9%22%2C%22linkType%22%3A%22publisher%22%2C%22publisherName%22%3A%22Springer%22%7D%2C%22alternatePaperLinks%22%3A%5B%5D%2C%22entities%22%3A%5B%5D%2C%22entityRelations%22%3A%5B%5D%2C%22faqs%22%3A%5B%5D%2C%22scorecardStats%22%3A%5B%7B%22typeKey%22%3A%22cited_by%22%2C%22citationCount%22%3A100%2C%22keyCitationCount%22%3A5%2C%22citationIntentCount%22%3A%7B%22background%22%3A8%2C%22methodology%22%3A12%2C%22result%22%3A2%7D%2C%22score%22%3A10%7D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22openAccessInfo%22%3A%7B%22status%22%3A%22CLOSED%22%7D%2C%22pubDate%22%3A%222010-06-08%22%2C%22badges%22%3A%5B%5D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%22citedPapers%22%3A%7B%22citationType%22%3A%22citedPapers%22%2C%22citations%22%3A%5B%7B%22id%22%3A%22e5ca0742993850e9588390c7506714e792c60eaa%22%2C%22corpusId%22%3A3980161%2C%22title%22%3A%7B%22text%22%3A%22A%20Course%20of%20Modern%20Analysis%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22A-Course-of-Modern-Analysis-Whittaker-Watson%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A2021%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Edmund%20Taylor%20Whittaker%22%2C%22ids%22%3A%5B%2240691894%22%5D%2C%22slug%22%3A%22Edmund-Taylor-Whittaker%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Edmund%22%2C%22middleNames%22%3A%5B%22Taylor%22%5D%2C%22lastName%22%3A%22Whittaker%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Edmund%20Taylor%20Whittaker%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22G.%20Watson%22%2C%22ids%22%3A%5B%22101159099%22%5D%2C%22slug%22%3A%22G.-Watson%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22George%22%2C%22middleNames%22%3A%5B%22Neville%22%5D%2C%22lastName%22%3A%22Watson%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22G.%20Watson%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A2%2C%22numCitedBy%22%3A6000%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22This%20classic%20work%20has%20been%20a%20unique%20resource%20for%20thousands%20of%20mathematicians%2C%20scientists%20and%20engineers%20since%20its%20first%20appearance%20in%201902.%20Never%20out%20of%20print%2C%20its%20continuing%20value%20lies%20in%20its%20thorough%20and%20exhaustive%20treatment%20of%20special%20functions%20of%20mathematical%20physics%20and%20the%20analysis%20of%20differential%20equations%20from%20which%20they%20emerge.%20The%20book%20also%20is%20of%20historical%20value%20as%20it%20was%20the%20first%20book%20in%20English%20to%20introduce%20the%20then%20modern%20methods%20of%20complex%20analysis.%20This%20fifth%20edition%20preserves%20the%20style%20and%20content%20of%20the%20original%2C%20but%20it%20has%20been%20supplemented%20with%20more%20recent%20results%20and%20references%20where%20appropriate.%20All%20the%20formulas%20have%20been%20checked%20and%20many%20corrections%20made.%20A%20complete%20bibliographical%20search%20has%20been%20conducted%20to%20present%20the%20references%20in%20modern%20form%20for%20ease%20of%20use.%20A%20new%20foreword%20by%20Professor%20S.%20J.%20Patterson%20sketches%20the%20circumstances%20of%20the%20book%E2%80%99s%20genesis%20and%20explains%20the%20reasons%20for%20its%20longevity.%20A%20welcome%20addition%20to%20any%20mathematician%E2%80%99s%20bookshelf%2C%20this%20will%20allow%20a%20whole%20new%20generation%20to%20experience%20the%20beauty%20contained%20in%20this%20text.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22tldr%22%3A%7B%22text%22%3A%22The%20volume%20now%20gives%20a%20somewhat%20exhaustive%20account%20of%20the%20various%20ramifications%20of%20the%20subject%2C%20which%20are%20set%20out%20in%20an%20attractive%20manner%20and%20should%20become%20indispensable%2C%20not%20only%20as%20a%20textbook%20for%20advanced%20students%2C%20but%20as%20a%20work%20of%20reference%20to%20those%20whose%20aim%20is%20to%20extend%20the%20knowledge%20of%20analysis.%22%2C%22abstractSimilarityScore%22%3A43%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22b6ef833c7e9cf1034e193a730a7fc241992cf7b2%22%2C%22corpusId%22%3A115805644%2C%22title%22%3A%7B%22text%22%3A%22The%20lost%20notebook%20and%20other%20unpublished%20papers%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22The-lost-notebook-and-other-unpublished-papers-Aiyangar-Andrews%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A1988%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Srinivasa%20Ramanujan%20Aiyangar%22%2C%22ids%22%3A%5B%22100753669%22%5D%2C%22slug%22%3A%22Srinivasa-Ramanujan-Aiyangar%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Srinivasa%22%2C%22middleNames%22%3A%5B%22Ramanujan%22%5D%2C%22lastName%22%3A%22Aiyangar%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Srinivasa%20Ramanujan%20Aiyangar%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22G.%20Andrews%22%2C%22ids%22%3A%5B%221884875%22%5D%2C%22slug%22%3A%22G.-Andrews%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22George%22%2C%22middleNames%22%3A%5B%22E.%22%5D%2C%22lastName%22%3A%22Andrews%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22G.%20Andrews%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A0%2C%22numCitedBy%22%3A1168%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22bc76fe8e808fe633722d15506351dc3677ac4617%22%2C%22corpusId%22%3A60488291%2C%22title%22%3A%7B%22text%22%3A%22Asymptotic%20Expansions%3A%20Frontmatter%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22Asymptotic-Expansions%3A-Frontmatter-Copson%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A1965%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22E.%20Copson%22%2C%22ids%22%3A%5B%2239481953%22%5D%2C%22slug%22%3A%22E.-Copson%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22E.%22%2C%22middleNames%22%3A%5B%22T.%22%5D%2C%22lastName%22%3A%22Copson%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22E.%20Copson%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A0%2C%22numCitedBy%22%3A326%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%5D%2C%22requestedPageSize%22%3A10%2C%22pageNumber%22%3A1%2C%22totalCitations%22%3A3%2C%22totalPages%22%3A1%2C%22sort%22%3A%22relevance%22%2C%22citationIntent%22%3A%22all%22%2C%22citationIntentCount%22%3A%7B%22background%22%3A0%2C%22methodology%22%3A0%2C%22result%22%3A0%7D%7D%2C%22figureExtractions%22%3A%7B%22figures%22%3A%5B%5D%7D%2C%22skipperExperiments%22%3A%5B%7B%22objectKey%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%2C%22objectType%22%3A%22paper%22%2C%22experimentName%22%3A%22reranked_citations_members_timo%22%2C%22objectData%22%3Atrue%2C%22createdAt%22%3A1593089193.557226%2C%22expiresAt%22%3A1600865193.557226%2C%22partitionKey%22%3A%22paper-215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%2C%22sortKey%22%3A%22reranked_citations_members_timo%22%7D%5D%2C%22citationSortAvailability%22%3A%7B%22citingPapers%22%3A%5B%22relevance%22%5D%2C%22citedPapers%22%3A%5B%22relevance%22%5D%7D%7D%2C%22path%22%3A%22%2Fpaper%2F215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%2C%22requestId%22%3A78059%2C%22pathParams%22%3A%7B%22paperId%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%7D%2C%22responseStatus%22%3A200%2C%22context%22%3A%7B%7D%7D%2C%7B%22actionType%22%3A%22API_REQUEST_COMPLETE%22%2C%22requestType%22%3A%22PAPER_LABS%22%2C%22resultData%22%3A%7B%22paperId%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%2C%22labs%22%3A%5B%5D%7D%2C%22path%22%3A%22%2Flabs%2Fpaper%2F215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%2C%22requestId%22%3A78060%2C%22pathParams%22%3A%7B%22paperId%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%7D%2C%22responseStatus%22%3A200%2C%22context%22%3A%7B%7D%7D%2C%7B%22actionType%22%3A%22API_REQUEST_COMPLETE%22%2C%22requestType%22%3A%22SEARCH_CITATIONS%22%2C%22resultData%22%3A%7B%22results%22%3A%5B%7B%22id%22%3A%220b3b88aed1e7a85c649484ba20d1fecdda0d7b05%22%2C%22corpusId%22%3A124085081%2C%22title%22%3A%7B%22text%22%3A%22Unified%20approaches%20to%20the%20approximations%20of%20the%20gamma%20function%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22Unified-approaches-to-the-approximations-of-the-Wang%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A2016%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Weiping%20Wang%22%2C%22ids%22%3A%5B%221422312702%22%5D%2C%22slug%22%3A%22Weiping-Wang%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Weiping%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Wang%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Weiping%20Wang%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A34%2C%22numCitedBy%22%3A17%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%7B%22id%22%3A%22UNPAYWALL%22%7D%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22465f97f08efb1114c5e2588a45a84bcf0f87bf84%22%2C%22corpusId%22%3A123153948%2C%22title%22%3A%7B%22text%22%3A%22A%20continued%20product%20approximation%20for%20the%20gamma%20function%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22A-continued-product-approximation-for-the-gamma-Feng-Wang%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A2013%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Lei%20Feng%22%2C%22ids%22%3A%5B%222117930608%22%5D%2C%22slug%22%3A%22Lei-Feng%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Lei%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Feng%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Lei%20Feng%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22Weiping%20Wang%22%2C%22ids%22%3A%5B%221422312702%22%5D%2C%22slug%22%3A%22Weiping-Wang%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Weiping%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Wang%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Weiping%20Wang%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A12%2C%22numCitedBy%22%3A3%2C%22citationContexts%22%3A%5B%7B%22context%22%3A%7B%22text%22%3A%22For%20some%20recent%20works%2C%20the%20readers%20are%20also%20referred%20to%20%5B2%2C%204%2C%206%E2%80%9313%5D.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22intents%22%3A%5B%7B%22id%22%3A%22background%22%7D%5D%7D%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22In%20this%20paper%2C%20we%20establish%20a%20continued%20product%20approximation%20for%20the%20gamma%20function%3A%20where%20the%20powers%20%CE%B3i%20can%20be%20determined%20by%20a%20recurrence.%20It%20can%20be%20seen%20that%20one%20of%20Mortici's%20%5BA%20class%20of%20integral%20approximations%20for%20the%20factorial%20function.%20Comput.%20Math.%20Appl.%202010%3B59(6)%3A2053%E2%80%932058%5D%20results%20is%20a%20special%20case%20of%20our%20approximation%20and%20can%20be%20viewed%20as%20the%20zeroth%20truncation.%20Some%20numerical%20computations%20are%20also%20made%20to%20show%20the%20performance%20of%20this%20formula.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22tldr%22%3A%7B%22text%22%3A%22A%20continued%20product%20approximation%20for%20the%20gamma%20function%3A%20where%20the%20powers%20%CE%B3i%20can%20be%20determined%20by%20a%20recurrence%20and%20one%20of%20Mortici's%20approximations%20for%20the%20factorial%20function%20results%20is%20a%20special%20case%20of%20this%20approximation.%22%2C%22abstractSimilarityScore%22%3A73%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22832540996a73ad55f495cb1e579f1afcc15b10e5%22%2C%22corpusId%22%3A10718149%2C%22title%22%3A%7B%22text%22%3A%22Some%20new%20quicker%20continued%20fraction%20approximations%20for%20the%20gamma%20function%20related%20to%20the%20Nemes%E2%80%99%20formula%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22Some-new-quicker-continued-fraction-approximations-Lu-Ma%22%2C%22venue%22%3A%7B%22text%22%3A%22Numerical%20Algorithms%22%2C%22fragments%22%3A%5B%5D%7D%2C%22venueId%22%3A%223920fb0a-e610-4b5d-8760-f43cfa321466%22%2C%22year%22%3A2015%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Dawei%20Lu%22%2C%22ids%22%3A%5B%2248111676%22%5D%2C%22slug%22%3A%22Dawei-Lu%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Dawei%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Lu%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Dawei%20Lu%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22Congxu%20Ma%22%2C%22ids%22%3A%5B%223147935%22%5D%2C%22slug%22%3A%22Congxu-Ma%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Congxu%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Ma%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Congxu%20Ma%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A18%2C%22numCitedBy%22%3A1%2C%22citationContexts%22%3A%5B%7B%22context%22%3A%7B%22text%22%3A%22Nemes%E2%80%99%20formula%20%5B15%2C%2016%5D%2C%20n!%20%E2%89%88%20%E2%88%9A2%CF%80n%20(n%20e%20)n%20(%201%20%2B%201%2012n2%20%E2%88%92%201%2010%20)n%20(5)%22%2C%22fragments%22%3A%5B%7B%22start%22%3A15%2C%22end%22%3A23%7D%5D%7D%2C%22intents%22%3A%5B%5D%7D%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22In%20this%20paper%2C%20based%20on%20Nemes%E2%80%99%20formula%2C%20we%20construct%20a%20new%20quicker%20continued%20fraction%20approximation%20of%20the%20gamma%20function.%20Some%20inequalities%20are%20established.%20Finally%2C%20for%20demonstrating%20the%20superiority%20of%20our%20new%20series%20over%20the%20Nemes%E2%80%99%20formula%2C%20the%20Gosper%E2%80%99s%20formula%2C%20the%20Windschitl%E2%80%99s%20formula%2C%20the%20Stielties%E2%80%99%20formula%20and%20the%20Striling%E2%80%99s%20formula%2C%20some%20numerical%20computations%20are%20given.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22tldr%22%3A%7B%22text%22%3A%22A%20new%20quicker%20continued%20fraction%20approximation%20of%20the%20gamma%20function%20is%20constructed%2C%20based%20on%20Nemes%E2%80%99%20formula%2C%20and%20some%20inequalities%20are%20established.%22%2C%22abstractSimilarityScore%22%3A66%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%2210a6f5552100d3e1a0850af778672d2579681bc9%22%2C%22corpusId%22%3A121833354%2C%22title%22%3A%7B%22text%22%3A%22A%20new%20sharp%20approximation%20for%20the%20Gamma%20function%20related%20to%20Burnside%E2%80%99s%20formula%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22A-new-sharp-approximation-for-the-Gamma-function-to-Lu%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A2014%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Dawei%20Lu%22%2C%22ids%22%3A%5B%2248111841%22%5D%2C%22slug%22%3A%22Dawei-Lu%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Dawei%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Lu%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Dawei%20Lu%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A8%2C%22numCitedBy%22%3A21%2C%22citationContexts%22%3A%5B%7B%22context%22%3A%7B%22text%22%3A%22The%20Nemes%E2%80%99%20formula%20%5B8%5D%2C%20n!%20%E2%89%88%20%E2%88%9A2%CF%80n%20(%20n%20e%20)n(%201%20%2B%201%2012n2%20%E2%88%92%201%2010%20)n%20%2C%20(7)%22%2C%22fragments%22%3A%5B%5D%7D%2C%22intents%22%3A%5B%5D%7D%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22In%20this%20paper%2C%20based%20on%20Burnside%E2%80%99s%20formula%2C%20a%20similar%20continued%20fraction%20approximation%20of%20the%20factorial%20function%20and%20some%20inequalities%20for%20the%20gamma%20function%20are%20established.%20Finally%2C%20for%20demonstrating%20the%20superiority%20of%20our%20new%20series%20over%20the%20Burnside%E2%80%99s%20formula%20and%20the%20classical%20Stirling%E2%80%99s%20series%2C%20some%20numerical%20computations%20are%20given.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22c1f1fd4400cd9ddea35d02c399591035b1ff3434%22%2C%22corpusId%22%3A254980774%2C%22title%22%3A%7B%22text%22%3A%22A%20new%20sharp%20approximation%20for%20the%20Gamma%20function%20related%20to%20Burnside%E2%80%99s%20formula%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22A-new-sharp-approximation-for-the-Gamma-function-to-Lu%22%2C%22venue%22%3A%7B%22text%22%3A%22The%20Ramanujan%20Journal%22%2C%22fragments%22%3A%5B%5D%7D%2C%22venueId%22%3A%228d4a9ef4-48ce-413e-8110-be2eebfa3aa0%22%2C%22year%22%3A2014%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Dawei%20Lu%22%2C%22ids%22%3A%5B%222191097878%22%5D%2C%22slug%22%3A%22Dawei-Lu%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Dawei%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Lu%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Dawei%20Lu%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A9%2C%22numCitedBy%22%3A1%2C%22citationContexts%22%3A%5B%7B%22context%22%3A%7B%22text%22%3A%22The%20Nemes%E2%80%99%20formula%20%5B8%5D%2C%20n!%20%E2%89%88%20%E2%88%9A2%CF%80n%20(%20n%20e%20)n(%201%20%2B%201%2012n2%20%E2%88%92%201%2010%20)n%20%2C%20(7)%22%2C%22fragments%22%3A%5B%7B%22start%22%3A19%2C%22end%22%3A22%7D%5D%7D%2C%22intents%22%3A%5B%5D%7D%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22In%20this%20paper%2C%20based%20on%20Burnside%E2%80%99s%20formula%2C%20a%20similar%20continued%20fraction%20approximation%20of%20the%20factorial%20function%20and%20some%20inequalities%20for%20the%20gamma%20function%20are%20established.%20Finally%2C%20for%20demonstrating%20the%20superiority%20of%20our%20new%20series%20over%20the%20Burnside%E2%80%99s%20formula%20and%20the%20classical%20Stirling%E2%80%99s%20series%2C%20some%20numerical%20computations%20are%20given.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22905b8edd173104be18211724fe2e4975e8d30c28%22%2C%22corpusId%22%3A119749827%2C%22title%22%3A%7B%22text%22%3A%22New%20Approximations%20for%20the%20Higher%20Order%20Coefficients%20in%20an%20Asymptotic%20Expansion%20for%20the%20Barnes%20G-Function%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22New-Approximations-for-the-Higher-Order-in-an-for-Issaka%22%2C%22venue%22%3A%7B%22text%22%3A%22Results%20in%20Mathematics%22%2C%22fragments%22%3A%5B%5D%7D%2C%22venueId%22%3A%22264e408a-bee3-4b9e-ba22-ff4caddb99a4%22%2C%22year%22%3A2021%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Aziz%20Issaka%22%2C%22ids%22%3A%5B%22102559459%22%5D%2C%22slug%22%3A%22Aziz-Issaka%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Aziz%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Issaka%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Aziz%20Issaka%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A31%2C%22numCitedBy%22%3A0%2C%22citationContexts%22%3A%5B%7B%22context%22%3A%7B%22text%22%3A%22Nemes%20%5B21%5D%20established%20the%20following%20new%20asymptotic%20expansion%20for%20the%20Gamma%20function%3A%20%E2%8E%9B%20%E2%8E%9D%20%CE%93(x)%20(%20x%20e%20)x%E2%88%9A%202%CF%80%20x%20%E2%8E%9E%20%E2%8E%A0%20x%20%E2%88%BC%20%E2%88%91%20n%E2%89%A50%20Gn%20xn%20%2C%20(1.%22%2C%22fragments%22%3A%5B%7B%22start%22%3A6%2C%22end%22%3A10%7D%5D%7D%2C%22intents%22%3A%5B%5D%7D%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%7B%22id%22%3A%22OPEN_ACCESS%22%7D%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22In%20this%20paper%2C%20we%20provide%20new%20formulas%20for%20determining%20the%20coefficients%20appearing%20in%20the%20asymptotic%20expansion%20for%20the%20Barnes%20G-function%20as%20n%20tends%20to%20infinity%20for%20certain%20classes%20of%20asymptotic%20expansion%20for%20the%20Barnes%20G-function.%20We%20remark%20that%20our%20formulas%20can%20be%20used%20to%20approximate%20the%20coefficients%20appearing%20in%20an%20asymptotic%20expansion%20of%20the%20%E2%80%9Crandom%20matrix%20factor%E2%80%9D%20from%20the%20Keathing-Snaith%20conjecture%20and%20the%20coefficients%20appearing%20in%20an%20asymptotic%20expansion%20of%20the%20%E2%80%9CL%C3%A9vy-Khintchine%20type%20representation%20of%20the%20reciprocal%20of%20the%20Barnes%20G-function%E2%80%9D.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Atrue%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%226a6fa78269782be8b66ba0061630fcbc48902763%22%2C%22corpusId%22%3A253786320%2C%22title%22%3A%7B%22text%22%3A%22On%20Some%20Asymptotic%20Expansions%20for%20the%20Gamma%20Function%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22On-Some-Asymptotic-Expansions-for-the-Gamma-Mahmoud-Almuashi%22%2C%22venue%22%3A%7B%22text%22%3A%22Symmetry%22%2C%22fragments%22%3A%5B%5D%7D%2C%22venueId%22%3A%221620da87-4387-4b9a-9bf4-22fdf74d4dc3%22%2C%22year%22%3A2022%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Mansour%20Mahmoud%22%2C%22ids%22%3A%5B%2249768032%22%5D%2C%22slug%22%3A%22Mansour-Mahmoud%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Mansour%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Mahmoud%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Mansour%20Mahmoud%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22Hanan%20Almuashi%22%2C%22ids%22%3A%5B%222120914455%22%5D%2C%22slug%22%3A%22Hanan-Almuashi%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Hanan%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Almuashi%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Hanan%20Almuashi%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A27%2C%22numCitedBy%22%3A2%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%7B%22id%22%3A%22UNPAYWALL%22%7D%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22Inequalities%20play%20a%20fundamental%20role%20in%20both%20theoretical%20and%20applied%20mathematics%20and%20contain%20many%20patterns%20of%20symmetries.%20In%20many%20studies%2C%20inequalities%20have%20been%20used%20to%20provide%20estimates%20of%20some%20functions%20based%20on%20the%20properties%20of%20their%20symmetry.%20In%20this%20paper%2C%20we%20present%20the%20following%20new%20asymptotic%20expansion%20related%20to%20the%20ordinary%20gamma%20function%20%CE%93(1%2Bw)%E2%88%BC2%CF%80w(w%2Fe)ww2%2B760w2%E2%88%92120w%2F2exp%E2%88%91r%3D1%E2%88%9E%CE%BCrwr%2Cw%E2%86%92%E2%88%9E%2C%20with%20the%20recurrence%20relation%20of%20coefficients%20%CE%BCr.%20Furthermore%2C%20we%20use%20Pad%C3%A9%20approximants%20and%20our%20new%20asymptotic%20expansion%20to%20deduce%20the%20new%20bounds%20of%20%CE%93(w)%20better%20than%20some%20of%20its%20recent%20ones.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22d6069cd7e2c7a9c8006ec6825cb15bf0fc1486b3%22%2C%22corpusId%22%3A125555665%2C%22title%22%3A%7B%22text%22%3A%22A%20New%20Approximation%20of%20the%20Gamma%20Function%20by%20Expanding%20the%20Windschitl%E2%80%99s%20formula%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22A-New-Approximation-of-the-Gamma-Function-by-the-Wang-Zhang%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A2017%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Hongzeng%20Wang%22%2C%22ids%22%3A%5B%222109570836%22%5D%2C%22slug%22%3A%22Hongzeng-Wang%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Hongzeng%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Wang%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Hongzeng%20Wang%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22Qingling%20Zhang%22%2C%22ids%22%3A%5B%221680759%22%5D%2C%22slug%22%3A%22Qingling-Zhang%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Qingling%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Zhang%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Qingling%20Zhang%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A15%2C%22numCitedBy%22%3A0%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22In%20this%20paper%2C%20the%20authors%20construct%20a%20new%20approximation%20of%20the%20factorial%20function%20and%20a%20double%20inequality%20for%20the%20gamma%20function%20which%20are%20based%20on%20Windschitl%E2%80%99s%20formula.%20Moreover%2C%20for%20demonstrating%20the%20superiority%20of%20our%20new%20series%20over%20Windschitl%E2%80%99s%20formula%2C%20Nemes%E2%80%99%20formula%20and%20Mortici%E2%80%99s%20formula%2C%20some%20numerical%20computations%20are%20given.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22ae6ded175f6eef06dcda80da3ec19dd058e8522b%22%2C%22corpusId%22%3A253585997%2C%22title%22%3A%7B%22text%22%3A%22A%20New%20Approximation%20of%20the%20Gamma%20Function%20by%20Expanding%20the%20Windschitl%E2%80%99s%20formula%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22A-New-Approximation-of-the-Gamma-Function-by-the-Wang-Zhang%22%2C%22venue%22%3A%7B%22text%22%3A%22Results%20in%20Mathematics%22%2C%22fragments%22%3A%5B%5D%7D%2C%22venueId%22%3A%22264e408a-bee3-4b9e-ba22-ff4caddb99a4%22%2C%22year%22%3A2017%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Hongzeng%20Wang%22%2C%22ids%22%3A%5B%222109570836%22%5D%2C%22slug%22%3A%22Hongzeng-Wang%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Hongzeng%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Wang%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Hongzeng%20Wang%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22Qingling%20Zhang%22%2C%22ids%22%3A%5B%222191233906%22%5D%2C%22slug%22%3A%22Qingling-Zhang%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Qingling%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Zhang%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Qingling%20Zhang%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A18%2C%22numCitedBy%22%3A0%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22In%20this%20paper%2C%20the%20authors%20construct%20a%20new%20approximation%20of%20the%20factorial%20function%20and%20a%20double%20inequality%20for%20the%20gamma%20function%20which%20are%20based%20on%20Windschitl%E2%80%99s%20formula.%20Moreover%2C%20for%20demonstrating%20the%20superiority%20of%20our%20new%20series%20over%20Windschitl%E2%80%99s%20formula%2C%20Nemes%E2%80%99%20formula%20and%20Mortici%E2%80%99s%20formula%2C%20some%20numerical%20computations%20are%20given.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%225392ae6811102d0043e488d6b39d12a47537ae27%22%2C%22corpusId%22%3A123536324%2C%22title%22%3A%7B%22text%22%3A%22A%20new%20asymptotic%20expansion%20and%20some%20inequalities%20for%20the%20gamma%20function%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22A-new-asymptotic-expansion-and-some-inequalities-Lu-Wang%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A2014%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Dawei%20Lu%22%2C%22ids%22%3A%5B%2248111841%22%5D%2C%22slug%22%3A%22Dawei-Lu%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Dawei%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Lu%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Dawei%20Lu%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22Xiaoguang%20Wang%22%2C%22ids%22%3A%5B%222108003635%22%5D%2C%22slug%22%3A%22Xiaoguang-Wang%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Xiaoguang%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Wang%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Xiaoguang%20Wang%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A12%2C%22numCitedBy%22%3A32%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%7B%22id%22%3A%22UNPAYWALL%22%7D%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%5D%2C%22query%22%3A%7B%22pageSize%22%3A10%2C%22page%22%3A1%2C%22sort%22%3A%22relevance%22%2C%22authors%22%3A%5B%5D%2C%22coAuthors%22%3A%5B%5D%2C%22venues%22%3A%5B%5D%2C%22requireViewablePdf%22%3Afalse%2C%22fieldsOfStudy%22%3A%5B%5D%2C%22citationType%22%3A%22citingPapers%22%2C%22includePdfVisibility%22%3Atrue%2C%22cues%22%3A%5B%22CitedByLibraryPaperCue%22%2C%22CitesYourPaperCue%22%2C%22CitesLibraryPaperCue%22%5D%2C%22safeFieldsOfStudy%22%3A%5B%5D%7D%2C%22totalPages%22%3A10%2C%22totalResults%22%3A100%2C%22stats%22%3A%7B%22coAuthors%22%3A%5B%5D%2C%22authors%22%3A%5B%5D%2C%22venues%22%3A%5B%5D%2C%22years%22%3A%5B%5D%2C%22countOfPapersWithViewablePdf%22%3A0%2C%22publicationTypes%22%3A%5B%5D%2C%22fieldsOfStudy%22%3A%5B%5D%2C%22totalCountAfterFilters%22%3A0%7D%7D%2C%22path%22%3A%22%2Fsearch%2Fpaper%2F215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%2Fcitations%22%2C%22requestId%22%3A78061%2C%22pathParams%22%3A%7B%22paperId%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%7D%2C%22responseStatus%22%3A200%2C%22context%22%3A%7B%7D%7D%2C%7B%22actionType%22%3A%22API_REQUEST_COMPLETE%22%2C%22requestType%22%3A%22SEARCH_REFERENCES%22%2C%22resultData%22%3A%7B%22results%22%3A%5B%7B%22id%22%3A%22e5ca0742993850e9588390c7506714e792c60eaa%22%2C%22corpusId%22%3A3980161%2C%22title%22%3A%7B%22text%22%3A%22A%20Course%20of%20Modern%20Analysis%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22A-Course-of-Modern-Analysis-Whittaker-Watson%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A2021%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Edmund%20Taylor%20Whittaker%22%2C%22ids%22%3A%5B%2240691894%22%5D%2C%22slug%22%3A%22Edmund-Taylor-Whittaker%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Edmund%22%2C%22middleNames%22%3A%5B%22Taylor%22%5D%2C%22lastName%22%3A%22Whittaker%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Edmund%20Taylor%20Whittaker%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22G.%20Watson%22%2C%22ids%22%3A%5B%22101159099%22%5D%2C%22slug%22%3A%22G.-Watson%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22George%22%2C%22middleNames%22%3A%5B%22Neville%22%5D%2C%22lastName%22%3A%22Watson%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22G.%20Watson%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A2%2C%22numCitedBy%22%3A6000%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22This%20classic%20work%20has%20been%20a%20unique%20resource%20for%20thousands%20of%20mathematicians%2C%20scientists%20and%20engineers%20since%20its%20first%20appearance%20in%201902.%20Never%20out%20of%20print%2C%20its%20continuing%20value%20lies%20in%20its%20thorough%20and%20exhaustive%20treatment%20of%20special%20functions%20of%20mathematical%20physics%20and%20the%20analysis%20of%20differential%20equations%20from%20which%20they%20emerge.%20The%20book%20also%20is%20of%20historical%20value%20as%20it%20was%20the%20first%20book%20in%20English%20to%20introduce%20the%20then%20modern%20methods%20of%20complex%20analysis.%20This%20fifth%20edition%20preserves%20the%20style%20and%20content%20of%20the%20original%2C%20but%20it%20has%20been%20supplemented%20with%20more%20recent%20results%20and%20references%20where%20appropriate.%20All%20the%20formulas%20have%20been%20checked%20and%20many%20corrections%20made.%20A%20complete%20bibliographical%20search%20has%20been%20conducted%20to%20present%20the%20references%20in%20modern%20form%20for%20ease%20of%20use.%20A%20new%20foreword%20by%20Professor%20S.%20J.%20Patterson%20sketches%20the%20circumstances%20of%20the%20book%E2%80%99s%20genesis%20and%20explains%20the%20reasons%20for%20its%20longevity.%20A%20welcome%20addition%20to%20any%20mathematician%E2%80%99s%20bookshelf%2C%20this%20will%20allow%20a%20whole%20new%20generation%20to%20experience%20the%20beauty%20contained%20in%20this%20text.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22tldr%22%3A%7B%22text%22%3A%22The%20volume%20now%20gives%20a%20somewhat%20exhaustive%20account%20of%20the%20various%20ramifications%20of%20the%20subject%2C%20which%20are%20set%20out%20in%20an%20attractive%20manner%20and%20should%20become%20indispensable%2C%20not%20only%20as%20a%20textbook%20for%20advanced%20students%2C%20but%20as%20a%20work%20of%20reference%20to%20those%20whose%20aim%20is%20to%20extend%20the%20knowledge%20of%20analysis.%22%2C%22abstractSimilarityScore%22%3A43%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22b6ef833c7e9cf1034e193a730a7fc241992cf7b2%22%2C%22corpusId%22%3A115805644%2C%22title%22%3A%7B%22text%22%3A%22The%20lost%20notebook%20and%20other%20unpublished%20papers%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22The-lost-notebook-and-other-unpublished-papers-Aiyangar-Andrews%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A1988%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Srinivasa%20Ramanujan%20Aiyangar%22%2C%22ids%22%3A%5B%22100753669%22%5D%2C%22slug%22%3A%22Srinivasa-Ramanujan-Aiyangar%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Srinivasa%22%2C%22middleNames%22%3A%5B%22Ramanujan%22%5D%2C%22lastName%22%3A%22Aiyangar%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Srinivasa%20Ramanujan%20Aiyangar%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22G.%20Andrews%22%2C%22ids%22%3A%5B%221884875%22%5D%2C%22slug%22%3A%22G.-Andrews%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22George%22%2C%22middleNames%22%3A%5B%22E.%22%5D%2C%22lastName%22%3A%22Andrews%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22G.%20Andrews%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A0%2C%22numCitedBy%22%3A1168%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22bc76fe8e808fe633722d15506351dc3677ac4617%22%2C%22corpusId%22%3A60488291%2C%22title%22%3A%7B%22text%22%3A%22Asymptotic%20Expansions%3A%20Frontmatter%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22Asymptotic-Expansions%3A-Frontmatter-Copson%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A1965%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22E.%20Copson%22%2C%22ids%22%3A%5B%2239481953%22%5D%2C%22slug%22%3A%22E.-Copson%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22E.%22%2C%22middleNames%22%3A%5B%22T.%22%5D%2C%22lastName%22%3A%22Copson%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22E.%20Copson%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A0%2C%22numCitedBy%22%3A326%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%5D%2C%22query%22%3A%7B%22pageSize%22%3A10%2C%22page%22%3A1%2C%22sort%22%3A%22relevance%22%2C%22authors%22%3A%5B%5D%2C%22coAuthors%22%3A%5B%5D%2C%22venues%22%3A%5B%5D%2C%22requireViewablePdf%22%3Afalse%2C%22fieldsOfStudy%22%3A%5B%5D%2C%22citationType%22%3A%22citedPapers%22%2C%22includePdfVisibility%22%3Atrue%2C%22cues%22%3A%5B%22CitedByLibraryPaperCue%22%2C%22CitesYourPaperCue%22%2C%22CitesLibraryPaperCue%22%5D%2C%22safeFieldsOfStudy%22%3A%5B%5D%7D%2C%22totalPages%22%3A1%2C%22totalResults%22%3A3%2C%22stats%22%3A%7B%22coAuthors%22%3A%5B%5D%2C%22authors%22%3A%5B%5D%2C%22venues%22%3A%5B%5D%2C%22years%22%3A%5B%5D%2C%22countOfPapersWithViewablePdf%22%3A0%2C%22publicationTypes%22%3A%5B%5D%2C%22fieldsOfStudy%22%3A%5B%5D%2C%22totalCountAfterFilters%22%3A0%7D%7D%2C%22path%22%3A%22%2Fsearch%2Fpaper%2F215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%2Fcitations%22%2C%22requestId%22%3A78062%2C%22pathParams%22%3A%7B%22paperId%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%7D%2C%22responseStatus%22%3A200%2C%22context%22%3A%7B%7D%7D%2C%7B%22actionType%22%3A%22API_REQUEST_COMPLETE%22%2C%22requestType%22%3A%22PDF_VISIBILITY%22%2C%22resultData%22%3A%7B%7D%2C%22path%22%3A%22%2Fpaper%2F215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%2Fpdf-visible%22%2C%22requestId%22%3A78063%2C%22pathParams%22%3A%7B%22paperId%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%7D%2C%22responseStatus%22%3A200%2C%22context%22%3A%7B%22paperId%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%7D%7D%2C%7B%22actionType%22%3A%22PAPER_DETAIL_LOADED%22%2C%22paperDetailResponse%22%3A%7B%22responseType%22%3A%22PAPER_DETAIL%22%2C%22paper%22%3A%7B%22id%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%2C%22corpusId%22%3A121820640%2C%22title%22%3A%7B%22text%22%3A%22New%20asymptotic%20expansion%20for%20the%20Gamma%20function%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22New-asymptotic-expansion-for-the-Gamma-function-Nemes%22%2C%22paperAbstract%22%3A%7B%22text%22%3A%22Using%20a%20series%20transformation%2C%20the%20Stirling-De%20Moivre%20asymptotic%20series%20approximation%20to%20the%20Gamma%20function%20is%20converted%20into%20a%20new%20one%20with%20better%20convergence%20properties.%20The%20new%20formula%20is%20being%20compared%20with%20those%20of%20Stirling%2C%20Laplace%2C%20and%20Ramanujan%20for%20real%20arguments%20greater%20than%200.5%20and%20turns%20out%20to%20be%2C%20for%20equal%20number%20of%20%E2%80%9Ccorrection%E2%80%9D%20terms%2C%20numerically%20superior%20to%20all%20of%20them.%20As%20a%20side%20benefit%2C%20a%20closed-form%20approximation%20has%20turned%20up%20during%20the%20analysis%20which%20is%20about%20as%20good%20as%203rd%20order%20Stirling%E2%80%99s%20(maximum%20relative%20error%20smaller%20than%201e%20%E2%88%92%2010%20for%20real%20arguments%20greater%20or%20equal%20to%2024).%22%2C%22fragments%22%3A%5B%5D%7D%2C%22paperAbstractTruncated%22%3A%22Using%20a%20series%20transformation%2C%20the%20Stirling-De%20Moivre%20asymptotic%20series%20approximation%20to%20the%20Gamma%20function%20is%20converted...%22%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22G.%20Nemes%22%2C%22ids%22%3A%5B%2247688163%22%5D%2C%22slug%22%3A%22G.-Nemes%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Gerg%C5%91%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Nemes%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22G.%20Nemes%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22structuredAuthors%22%3A%5B%7B%22firstName%22%3A%22Gerg%C5%91%22%2C%22middleNames%22%3A%5B%5D%2C%22lastName%22%3A%22Nemes%22%7D%5D%2C%22year%22%3A%7B%22text%22%3A%222010%22%2C%22fragments%22%3A%5B%5D%7D%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22venueId%22%3A%22%22%2C%22citationContexts%22%3A%5B%5D%2C%22citationStats%22%3A%7B%22citedByBuckets%22%3A%5B%7B%22startKey%22%3A2009%2C%22endKey%22%3A2009%2C%22count%22%3A1%7D%2C%7B%22startKey%22%3A2010%2C%22endKey%22%3A2010%2C%22count%22%3A3%7D%2C%7B%22startKey%22%3A2011%2C%22endKey%22%3A2011%2C%22count%22%3A2%7D%2C%7B%22startKey%22%3A2012%2C%22endKey%22%3A2012%2C%22count%22%3A9%7D%2C%7B%22startKey%22%3A2013%2C%22endKey%22%3A2013%2C%22count%22%3A6%7D%2C%7B%22startKey%22%3A2014%2C%22endKey%22%3A2014%2C%22count%22%3A11%7D%2C%7B%22startKey%22%3A2015%2C%22endKey%22%3A2015%2C%22count%22%3A9%7D%2C%7B%22startKey%22%3A2016%2C%22endKey%22%3A2016%2C%22count%22%3A11%7D%2C%7B%22startKey%22%3A2017%2C%22endKey%22%3A2017%2C%22count%22%3A14%7D%2C%7B%22startKey%22%3A2018%2C%22endKey%22%3A2018%2C%22count%22%3A9%7D%2C%7B%22startKey%22%3A2019%2C%22endKey%22%3A2019%2C%22count%22%3A7%7D%2C%7B%22startKey%22%3A2020%2C%22endKey%22%3A2020%2C%22count%22%3A2%7D%2C%7B%22startKey%22%3A2021%2C%22endKey%22%3A2021%2C%22count%22%3A6%7D%2C%7B%22startKey%22%3A2022%2C%22endKey%22%3A2022%2C%22count%22%3A1%7D%2C%7B%22startKey%22%3A2023%2C%22endKey%22%3A2023%2C%22count%22%3A5%7D%2C%7B%22startKey%22%3A2024%2C%22endKey%22%3A2024%2C%22count%22%3A3%7D%2C%7B%22startKey%22%3A2025%2C%22endKey%22%3A2025%2C%22count%22%3A1%7D%5D%2C%22keyCitedByBuckets%22%3A%5B%5D%2C%22numCitations%22%3A100%2C%22estNumCitations%22%3A93.52613161717873%2C%22numReferences%22%3A3%2C%22numKeyCitations%22%3A5%2C%22numKeyReferences%22%3A0%2C%22numViewableReferences%22%3A3%2C%22keyCitationRate%22%3A0.05%2C%22firstCitationVelocityYear%22%3A2022%2C%22lastCitationVelocityYear%22%3A2024%7D%2C%22earliestAcquisitionsDate%22%3A1555679571.251%2C%22journal%22%3A%7B%22name%22%3A%22Archiv%20der%20Mathematik%22%2C%22volume%22%3A%2295%22%2C%22pages%22%3A%22161-169%22%7D%2C%22doiInfo%22%3A%7B%22doi%22%3A%2210.1007%2FS00013-010-0146-9%22%2C%22doiUrl%22%3A%22https%3A%2F%2Fdoi.org%2F10.1007%2FS00013-010-0146-9%22%7D%2C%22links%22%3A%5B%7B%22url%22%3A%22https%3A%2F%2Fdoi.org%2F10.1007%2FS00013-010-0146-9%22%2C%22linkType%22%3A%22publisher%22%2C%22publisherName%22%3A%22Springer%22%7D%5D%2C%22primaryPaperLink%22%3A%7B%22url%22%3A%22https%3A%2F%2Fdoi.org%2F10.1007%2FS00013-010-0146-9%22%2C%22linkType%22%3A%22publisher%22%2C%22publisherName%22%3A%22Springer%22%7D%2C%22alternatePaperLinks%22%3A%5B%5D%2C%22entities%22%3A%5B%5D%2C%22entityRelations%22%3A%5B%5D%2C%22faqs%22%3A%5B%5D%2C%22scorecardStats%22%3A%5B%7B%22typeKey%22%3A%22cited_by%22%2C%22citationCount%22%3A100%2C%22keyCitationCount%22%3A5%2C%22citationIntentCount%22%3A%7B%22background%22%3A8%2C%22methodology%22%3A12%2C%22result%22%3A2%7D%2C%22score%22%3A10%7D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22openAccessInfo%22%3A%7B%22status%22%3A%22CLOSED%22%7D%2C%22pubDate%22%3A%222010-06-08%22%2C%22badges%22%3A%5B%5D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%22citedPapers%22%3A%7B%22citationType%22%3A%22citedPapers%22%2C%22citations%22%3A%5B%7B%22id%22%3A%22e5ca0742993850e9588390c7506714e792c60eaa%22%2C%22corpusId%22%3A3980161%2C%22title%22%3A%7B%22text%22%3A%22A%20Course%20of%20Modern%20Analysis%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22A-Course-of-Modern-Analysis-Whittaker-Watson%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A2021%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Edmund%20Taylor%20Whittaker%22%2C%22ids%22%3A%5B%2240691894%22%5D%2C%22slug%22%3A%22Edmund-Taylor-Whittaker%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Edmund%22%2C%22middleNames%22%3A%5B%22Taylor%22%5D%2C%22lastName%22%3A%22Whittaker%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Edmund%20Taylor%20Whittaker%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22G.%20Watson%22%2C%22ids%22%3A%5B%22101159099%22%5D%2C%22slug%22%3A%22G.-Watson%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22George%22%2C%22middleNames%22%3A%5B%22Neville%22%5D%2C%22lastName%22%3A%22Watson%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22G.%20Watson%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A2%2C%22numCitedBy%22%3A6000%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22This%20classic%20work%20has%20been%20a%20unique%20resource%20for%20thousands%20of%20mathematicians%2C%20scientists%20and%20engineers%20since%20its%20first%20appearance%20in%201902.%20Never%20out%20of%20print%2C%20its%20continuing%20value%20lies%20in%20its%20thorough%20and%20exhaustive%20treatment%20of%20special%20functions%20of%20mathematical%20physics%20and%20the%20analysis%20of%20differential%20equations%20from%20which%20they%20emerge.%20The%20book%20also%20is%20of%20historical%20value%20as%20it%20was%20the%20first%20book%20in%20English%20to%20introduce%20the%20then%20modern%20methods%20of%20complex%20analysis.%20This%20fifth%20edition%20preserves%20the%20style%20and%20content%20of%20the%20original%2C%20but%20it%20has%20been%20supplemented%20with%20more%20recent%20results%20and%20references%20where%20appropriate.%20All%20the%20formulas%20have%20been%20checked%20and%20many%20corrections%20made.%20A%20complete%20bibliographical%20search%20has%20been%20conducted%20to%20present%20the%20references%20in%20modern%20form%20for%20ease%20of%20use.%20A%20new%20foreword%20by%20Professor%20S.%20J.%20Patterson%20sketches%20the%20circumstances%20of%20the%20book%E2%80%99s%20genesis%20and%20explains%20the%20reasons%20for%20its%20longevity.%20A%20welcome%20addition%20to%20any%20mathematician%E2%80%99s%20bookshelf%2C%20this%20will%20allow%20a%20whole%20new%20generation%20to%20experience%20the%20beauty%20contained%20in%20this%20text.%22%2C%22fragments%22%3A%5B%5D%7D%2C%22tldr%22%3A%7B%22text%22%3A%22The%20volume%20now%20gives%20a%20somewhat%20exhaustive%20account%20of%20the%20various%20ramifications%20of%20the%20subject%2C%20which%20are%20set%20out%20in%20an%20attractive%20manner%20and%20should%20become%20indispensable%2C%20not%20only%20as%20a%20textbook%20for%20advanced%20students%2C%20but%20as%20a%20work%20of%20reference%20to%20those%20whose%20aim%20is%20to%20extend%20the%20knowledge%20of%20analysis.%22%2C%22abstractSimilarityScore%22%3A43%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22b6ef833c7e9cf1034e193a730a7fc241992cf7b2%22%2C%22corpusId%22%3A115805644%2C%22title%22%3A%7B%22text%22%3A%22The%20lost%20notebook%20and%20other%20unpublished%20papers%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22The-lost-notebook-and-other-unpublished-papers-Aiyangar-Andrews%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A1988%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22Srinivasa%20Ramanujan%20Aiyangar%22%2C%22ids%22%3A%5B%22100753669%22%5D%2C%22slug%22%3A%22Srinivasa-Ramanujan-Aiyangar%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22Srinivasa%22%2C%22middleNames%22%3A%5B%22Ramanujan%22%5D%2C%22lastName%22%3A%22Aiyangar%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22Srinivasa%20Ramanujan%20Aiyangar%22%2C%22fragments%22%3A%5B%5D%7D%5D%2C%5B%7B%22name%22%3A%22G.%20Andrews%22%2C%22ids%22%3A%5B%221884875%22%5D%2C%22slug%22%3A%22G.-Andrews%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22George%22%2C%22middleNames%22%3A%5B%22E.%22%5D%2C%22lastName%22%3A%22Andrews%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22G.%20Andrews%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A0%2C%22numCitedBy%22%3A1168%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%2C%7B%22id%22%3A%22bc76fe8e808fe633722d15506351dc3677ac4617%22%2C%22corpusId%22%3A60488291%2C%22title%22%3A%7B%22text%22%3A%22Asymptotic%20Expansions%3A%20Frontmatter%22%2C%22fragments%22%3A%5B%5D%7D%2C%22slug%22%3A%22Asymptotic-Expansions%3A-Frontmatter-Copson%22%2C%22venue%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22year%22%3A1965%2C%22authors%22%3A%5B%5B%7B%22name%22%3A%22E.%20Copson%22%2C%22ids%22%3A%5B%2239481953%22%5D%2C%22slug%22%3A%22E.-Copson%22%2C%22structuredName%22%3A%7B%22firstName%22%3A%22E.%22%2C%22middleNames%22%3A%5B%22T.%22%5D%2C%22lastName%22%3A%22Copson%22%7D%2C%22bitmap%240%22%3Afalse%7D%2C%7B%22text%22%3A%22E.%20Copson%22%2C%22fragments%22%3A%5B%5D%7D%5D%5D%2C%22fieldsOfStudy%22%3A%5B%22Mathematics%22%5D%2C%22numCiting%22%3A0%2C%22numCitedBy%22%3A326%2C%22citationContexts%22%3A%5B%5D%2C%22isKey%22%3Afalse%2C%22badges%22%3A%5B%5D%2C%22paperAbstract%22%3A%7B%22text%22%3A%22%22%2C%22fragments%22%3A%5B%5D%7D%2C%22isPdfVisible%22%3Afalse%2C%22cues%22%3A%7B%7D%7D%5D%2C%22requestedPageSize%22%3A10%2C%22pageNumber%22%3A1%2C%22totalCitations%22%3A3%2C%22totalPages%22%3A1%2C%22sort%22%3A%22relevance%22%2C%22citationIntent%22%3A%22all%22%2C%22citationIntentCount%22%3A%7B%22background%22%3A0%2C%22methodology%22%3A0%2C%22result%22%3A0%7D%7D%2C%22figureExtractions%22%3A%7B%22figures%22%3A%5B%5D%7D%2C%22skipperExperiments%22%3A%5B%7B%22objectKey%22%3A%22215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%2C%22objectType%22%3A%22paper%22%2C%22experimentName%22%3A%22reranked_citations_members_timo%22%2C%22objectData%22%3Atrue%2C%22createdAt%22%3A1593089193.557226%2C%22expiresAt%22%3A1600865193.557226%2C%22partitionKey%22%3A%22paper-215af3bddb26dbdf5c8fd21bd23c1d273f3c6dd9%22%2C%22sortKey%22%3A%22reranked_citations_members_timo%22%7D%5D%2C%22citationSortAvailability%22%3A%7B%22citingPapers%22%3A%5B%22relevance%22%5D%2C%22citedPapers%22%3A%5B%22relevance%22%5D%7D%7D%7D%2C%7B%22actionType%22%3A%22ICON_SPRITE%22%2C%22data%22%3A%7B%22activeIconIds%22%3A%5B%22excerpt%22%2C%22search-small%22%2C%22open-access%22%2C%22fa-bookmark%22%2C%22semantic-reader%22%2C%22fa-quote%22%2C%22information%22%2C%22fa-link%22%2C%22disclosure%22%2C%22fa-link-out%22%2C%22arrow-lite%22%2C%22fa-bell%22%2C%22cited-by%22%2C%22arrow-up%22%5D%7D%7D%5D';</script> <script>window.S2_WEBLAB_CONFIG = {"experimentsDynamicConfig":"{\"pdp_tldr_abstract\":{\"id\":251,\"key\":\"pdp_tldr_abstract\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"pdp_tldr\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_tldr_abstract\",\"allocationSalt\":\"nm945zClaQRPNTiNJr7Oh0Sr\",\"exposureSalt\":\"azaYANk4PtVCBDHyfUJqAzyr\",\"createdAtUtc\":1692908021.417,\"createdByUser\":5515660},\"google_one_tap\":{\"id\":197,\"key\":\"google_one_tap\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"enabled\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"google_one_tap\",\"createdAtUtc\":1615444859.178,\"createdByUser\":122010},\"personalized_author_card_cues\":{\"id\":298,\"key\":\"personalized_author_card_cues\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"enable_non_personalized_author_card_on_hover\",\"ratio\":0},{\"key\":\"enable_non_personalized_author_card_on_click\",\"ratio\":0},{\"key\":\"enable_personalized_author_card_cues_on_hover\",\"ratio\":0},{\"key\":\"enable_personalized_author_card_cues_on_click\",\"ratio\":0},{\"key\":\"fetch_personalized_author_cues\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"personalized_author_card_cues\",\"allocationSalt\":\"rYtwrU9zqoLEYDG1OU4jh4oe\",\"exposureSalt\":\"MScsd8z/4DTcfk2dAU6NZCsq\",\"createdAtUtc\":1704399028.626,\"createdByUser\":243672},\"citation_ranking_v2\":{\"id\":176,\"key\":\"citation_ranking_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"lambda_0_1\",\"ratio\":0},{\"key\":\"lambda_0_25\",\"ratio\":0},{\"key\":\"lambda_0_5\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"citation_ranking_v2\",\"createdAtUtc\":1603737896.161},\"author_name_abbreviation\":{\"id\":210,\"key\":\"author_name_abbreviation\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"author_abbreviations\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"author_name_abbreviation\",\"createdAtUtc\":1646085170.025,\"createdByUser\":243672},\"serp_density\":{\"id\":21,\"key\":\"serp_density\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"visible_compact\",\"ratio\":0},{\"key\":\"visible_comfortable\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_density\",\"createdAtUtc\":1572896186.193744},\"aa_user_based_test\":{\"id\":301,\"key\":\"aa_user_based_test\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"aa_user_based_test\",\"allocationSalt\":\"8sYV7vyH1yBuWV5HOseP7ctW\",\"exposureSalt\":\"A6AwSGyJ6VbUAv8I8POVqqP2\",\"createdAtUtc\":1704416558.941,\"createdByUser\":279810},\"pdp_figure_limit\":{\"id\":98,\"key\":\"pdp_figure_limit\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"cap_at_4\",\"ratio\":1},{\"key\":\"cap_at_8\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_figure_limit\",\"createdAtUtc\":1589921468.447,\"createdByUser\":104960},\"dense_paper_view\":{\"id\":196,\"key\":\"dense_paper_view\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"enabled\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"dense_paper_view\",\"createdAtUtc\":1614018620.745,\"createdByUser\":243672},\"aa_stable_hash_user_test\":{\"id\":306,\"key\":\"aa_stable_hash_user_test\",\"variations\":[{\"key\":\"control\",\"ratio\":0.5},{\"key\":\"test\",\"ratio\":0.5}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"aa_stable_hash_user_test\",\"allocationSalt\":\"MufpYhpSmAObwrYR3ZP7xFlC\",\"exposureSalt\":\"F+0Ffq4q49FJRWHk32O1L5nc\",\"createdAtUtc\":1705622249.956,\"createdByUser\":279810},\"cited_by_library_cue\":{\"id\":249,\"key\":\"cited_by_library_cue\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"cited_by_library_cue\",\"allocationSalt\":\"i+dwT82MKt6BLyOzN2ykalq6\",\"exposureSalt\":\"oxItYJ7GQjq+Y/djtm+AIVna\",\"createdAtUtc\":1692393445.535,\"createdByUser\":1203585},\"serp_reranking_service\":{\"id\":67,\"key\":\"serp_reranking_service\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"with_reranker_service\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_reranking_service\",\"createdAtUtc\":1587075346.848,\"createdByUser\":17800},\"serp_density_no_toggle\":{\"id\":101,\"key\":\"serp_density_no_toggle\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"compact\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_density_no_toggle\",\"createdAtUtc\":1590012981.954,\"createdByUser\":17800},\"store_rehydrate\":{\"id\":97,\"key\":\"store_rehydrate\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"async\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"store_rehydrate\",\"createdAtUtc\":1589828078.63,\"createdByUser\":104960},\"new_ab_framework_aa\":{\"id\":300,\"key\":\"new_ab_framework_aa\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"new_ab_framework_aa\",\"allocationSalt\":\"UE2LzP3TPvnrhxtIVfEvsRhG\",\"exposureSalt\":\"ja4S+rxtrqmKdsdnOoNtbNuc\",\"createdAtUtc\":1704416553.178,\"createdByUser\":279810},\"perf_bundling\":{\"id\":90,\"key\":\"perf_bundling\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"preload_by_device\",\"ratio\":0},{\"key\":\"preload_by_route\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"perf_bundling\",\"createdAtUtc\":1589229953.664,\"createdByUser\":104960},\"abstract_highlighter_v2\":{\"id\":123,\"key\":\"abstract_highlighter_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"highlighted_abstract_default_toggle_off\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"abstract_highlighter_v2\",\"createdAtUtc\":1593461211.759575,\"createdByUser\":104960},\"google_one_tap_v2\":{\"id\":201,\"key\":\"google_one_tap_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"enabled\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"google_one_tap_v2\",\"createdAtUtc\":1617130015.144,\"createdByUser\":122010},\"reader_pdp_button_primacy\":{\"id\":214,\"key\":\"reader_pdp_button_primacy\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"reader_pdp_button_primacy\",\"createdAtUtc\":1657558402.126,\"createdByUser\":1405553},\"pdp_promo_banner_multi_arm_v2\":{\"id\":198,\"key\":\"pdp_promo_banner_multi_arm_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"account_create\",\"ratio\":0},{\"key\":\"library_save\",\"ratio\":0},{\"key\":\"institution_login\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_promo_banner_multi_arm_v2\",\"createdAtUtc\":1615444878.533,\"createdByUser\":122010},\"serp_reranking_service_2\":{\"id\":117,\"key\":\"serp_reranking_service_2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"with_reranker_service\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_reranking_service_2\",\"createdAtUtc\":1592339220,\"createdByUser\":17800},\"similar_papers_shoveler\":{\"id\":26,\"key\":\"similar_papers_shoveler\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"with_carousel\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"similar_papers_shoveler\",\"createdAtUtc\":1573763284.202,\"createdByUser\":317575},\"serp_reranker_precompute_2\":{\"id\":61,\"key\":\"serp_reranker_precompute_2\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"with_reranker\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_reranker_precompute_2\",\"createdAtUtc\":1586801912.973,\"createdByUser\":397618},\"oneclick_alternate_source_v2\":{\"id\":113,\"key\":\"oneclick_alternate_source_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"treatment_a\",\"ratio\":1},{\"key\":\"treatment_b\",\"ratio\":0},{\"key\":\"treatment_c\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"oneclick_alternate_source_v2\",\"createdAtUtc\":1591737877.786,\"createdByUser\":418650},\"home_page_search_emphasis_extension\":{\"id\":110,\"key\":\"home_page_search_emphasis_extension\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"refreshed\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"home_page_search_emphasis_extension\",\"createdAtUtc\":1591151165.02,\"createdByUser\":104960},\"abstract_highlighter\":{\"id\":37,\"key\":\"abstract_highlighter\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"highlighted_abstract\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"abstract_highlighter\",\"createdAtUtc\":1581466392.016,\"createdByUser\":279810},\"sign_up_funnel_optimization_first_screen\":{\"id\":204,\"key\":\"sign_up_funnel_optimization_first_screen\",\"variations\":[{\"key\":\"control\",\"ratio\":0.5},{\"key\":\"test\",\"ratio\":0.5}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"sign_up_funnel_optimization_first_screen\",\"createdAtUtc\":1623175290.432,\"createdByUser\":1405553},\"cite_download_links\":{\"id\":118,\"key\":\"cite_download_links\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"download_links\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"cite_download_links\",\"createdAtUtc\":1592930913.207},\"new_ab_framework_mock_ab\":{\"id\":302,\"key\":\"new_ab_framework_mock_ab\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test_50\",\"ratio\":0},{\"key\":\"test_90\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"new_ab_framework_mock_ab\",\"allocationSalt\":\"vFv4mvTwJu5QwtD4VUYt3DFx\",\"exposureSalt\":\"whbD6kenLWcV13onOMdcaygv\",\"createdAtUtc\":1704416581.716,\"createdByUser\":279810},\"reader_cite_see\":{\"id\":247,\"key\":\"reader_cite_see\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"enable_cite_see\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"reader_cite_see\",\"allocationSalt\":\"kX+/bPrZVfPxACjiWAHDEfFF\",\"exposureSalt\":\"tA6Am2Fp3W23HW1AhcqSa6nv\",\"createdAtUtc\":1688005085.187,\"createdByUser\":122010},\"pdp_passive_recommendations\":{\"id\":56,\"key\":\"pdp_passive_recommendations\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_passive_recommendations\",\"createdAtUtc\":1586473652.362},\"pdp_paper_concepts_2\":{\"id\":153,\"key\":\"pdp_paper_concepts_2\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"paper_concepts\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_paper_concepts_2\",\"createdAtUtc\":1599091134.654,\"createdByUser\":397618},\"pdf_badge_link_destination\":{\"id\":207,\"key\":\"pdf_badge_link_destination\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"destination_pdf\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdf_badge_link_destination\",\"createdAtUtc\":1628618070.204,\"createdByUser\":1203585},\"login_demographics_modal_V2\":{\"id\":19,\"key\":\"login_demographics_modal_V2\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"show_modal\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"login_demographics_modal_V2\",\"createdAtUtc\":1572296488.514184},\"topics_beta3_DELETE_pauls\":{\"id\":262,\"key\":\"topics_beta3_DELETE_pauls\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"topics_beta3\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"topics_beta3\",\"allocationSalt\":\"qlobQ8Q2C6EwDsrhfugX3xOq\",\"exposureSalt\":\"rdKI0FytJIEV1e4u2QHnl+YA\",\"createdAtUtc\":1696545337.239,\"createdByUser\":1545875},\"delay_analytics\":{\"id\":121,\"key\":\"delay_analytics\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"delay_analytics\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"delay_analytics\",\"createdAtUtc\":1593196006.436,\"createdByUser\":122010},\"create_library_ftue_modal_v2\":{\"id\":245,\"key\":\"create_library_ftue_modal_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"ftue_modal\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"create_library_ftue_modal_v2\",\"createdAtUtc\":1683658275.692,\"createdByUser\":279810},\"s2_logo_redesign\":{\"id\":30,\"key\":\"s2_logo_redesign\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"new_logo\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"s2_logo_redesign\",\"createdAtUtc\":1575410800.18,\"createdByUser\":279810},\"paper_badges_2\":{\"id\":171,\"key\":\"paper_badges_2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"treatment_a\",\"ratio\":0},{\"key\":\"treatment_b\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"paper_badges_2\",\"createdAtUtc\":1602525442.758,\"createdByUser\":317575},\"split_by_route\":{\"id\":17,\"key\":\"split_by_route\",\"variations\":[{\"key\":\"control\",\"ratio\":0.334},{\"key\":\"split_admin_route\",\"ratio\":0.333},{\"key\":\"split_react_player_route\",\"ratio\":0.333}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"split_by_route\",\"createdAtUtc\":1572040486.808819,\"createdByUser\":104960},\"author_recommendations\":{\"id\":40,\"key\":\"author_recommendations\",\"variations\":[{\"key\":\"baseline\",\"ratio\":0},{\"key\":\"recent_relevant_popular\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"author_recommendations\",\"createdAtUtc\":1582568646.415,\"createdByUser\":418650},\"author_page_redesign\":{\"id\":8,\"key\":\"author_page_redesign\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"ahp_redesign\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"author_page_redesign\",\"createdAtUtc\":1570470623.090848,\"createdByUser\":104960},\"reader_cta\":{\"id\":216,\"key\":\"reader_cta\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"test\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"reader_cta\",\"createdAtUtc\":1661365722.101,\"createdByUser\":122010},\"citation_ranking_v2_3\":{\"id\":188,\"key\":\"citation_ranking_v2_3\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"lambda_0_01\",\"ratio\":0},{\"key\":\"lambda_0_001\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"citation_ranking_v2_3\",\"createdAtUtc\":1606929568.356},\"font_loading\":{\"id\":52,\"key\":\"font_loading\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"test_swap\",\"ratio\":1},{\"key\":\"test_inject\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"font_loading\",\"createdAtUtc\":1585953693.361,\"createdByUser\":104960},\"topics_beta3\":{\"id\":291,\"key\":\"topics_beta3\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"topics_beta3\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"topics_beta3\",\"allocationSalt\":\"aw1beIcO6IGl6qVagXh2S/4a\",\"exposureSalt\":\"zpAfSCyLQBHNDrBbh1ug/GVj\",\"createdAtUtc\":1701455749.854,\"createdByUser\":104960},\"alerts_summarization_relevance_2\":{\"id\":166,\"key\":\"alerts_summarization_relevance_2\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"summarization_paper\",\"ratio\":0},{\"key\":\"relevance_paper\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"alerts_summarization_relevance_2\",\"createdAtUtc\":1601583531.684},\"sign_up_button_text\":{\"id\":205,\"key\":\"sign_up_button_text\",\"variations\":[{\"key\":\"control\",\"ratio\":0.34},{\"key\":\"create_account\",\"ratio\":0.33},{\"key\":\"sign_up\",\"ratio\":0.33}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"sign_up_button_text\",\"createdAtUtc\":1623345966.224,\"createdByUser\":1456296},\"login_demographics_modal\":{\"id\":10,\"key\":\"login_demographics_modal\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"show_modal\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"login_demographics_modal\",\"createdAtUtc\":1570646352.207529},\"reader_note_taking\":{\"id\":239,\"key\":\"reader_note_taking\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"enable_note_taking\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"reader_note_taking\",\"createdAtUtc\":1680117768.405,\"createdByUser\":122010},\"pdp_top_citation_scorecard\":{\"id\":134,\"key\":\"pdp_top_citation_scorecard\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"top_citing\",\"ratio\":0},{\"key\":\"top_citing_with_counts\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_top_citation_scorecard\",\"createdAtUtc\":1595531067.148,\"createdByUser\":317575},\"raw_citation_count\":{\"id\":111,\"key\":\"raw_citation_count\",\"variations\":[{\"key\":\"control\",\"ratio\":0.25},{\"key\":\"raw_citations_icon\",\"ratio\":0.25},{\"key\":\"raw_citations_text\",\"ratio\":0.25},{\"key\":\"both_citations_icon\",\"ratio\":0.25}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"raw_citation_count\",\"createdAtUtc\":1591213895.609},\"paper_badges\":{\"id\":157,\"key\":\"paper_badges\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"treatment_a\",\"ratio\":0},{\"key\":\"treatment_b\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"paper_badges\",\"createdAtUtc\":1600193377.798,\"createdByUser\":296941},\"alerts_summarization_only\":{\"id\":173,\"key\":\"alerts_summarization_only\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"summarization_paper\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"alerts_summarization_only\",\"createdAtUtc\":1603299529.034},\"flip_login_modal_layout\":{\"id\":81,\"key\":\"flip_login_modal_layout\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"flipped\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"flip_login_modal_layout\",\"createdAtUtc\":1588372807.479,\"createdByUser\":243672},\"reranked_citations_members_timo\":{\"id\":115,\"key\":\"reranked_citations_members_timo\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"enable_relevance\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"reranked_citations_members_timo\",\"createdAtUtc\":1591896209.993},\"author_recommendations_ux\":{\"id\":41,\"key\":\"author_recommendations_ux\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"local_hint\",\"ratio\":0},{\"key\":\"global_hint\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"author_recommendations_ux\",\"createdAtUtc\":1582653712.54,\"createdByUser\":418650},\"oneclick_alternate_source\":{\"id\":106,\"key\":\"oneclick_alternate_source\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"treatment_a\",\"ratio\":0},{\"key\":\"treatment_b\",\"ratio\":0},{\"key\":\"treatment_c\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"oneclick_alternate_source\",\"createdAtUtc\":1590613869.645,\"createdByUser\":418650},\"split_react_player\":{\"id\":25,\"key\":\"split_react_player\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"split_react_player_route\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"split_react_player\",\"createdAtUtc\":1573686549.296,\"createdByUser\":296941},\"feed_on_serp\":{\"id\":78,\"key\":\"feed_on_serp\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"always_visible\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"feed_on_serp\",\"createdAtUtc\":1587792956.64,\"createdByUser\":104960},\"alerts_two_types_relevance\":{\"id\":179,\"key\":\"alerts_two_types_relevance\",\"variations\":[{\"key\":\"control\",\"ratio\":0.33},{\"key\":\"relevance_author\",\"ratio\":0.33},{\"key\":\"relevance_paper\",\"ratio\":0.34}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"alerts_two_types_relevance\",\"createdAtUtc\":1604007508.027},\"author_influence_tabs\":{\"id\":280,\"key\":\"author_influence_tabs\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"view_all\",\"ratio\":0},{\"key\":\"numbers\",\"ratio\":0},{\"key\":\"plain\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"author_influence_tabs\",\"allocationSalt\":\"zarnyoyT2ySK+1e5SMn+U5kE\",\"exposureSalt\":\"5QiARRh63+qEfN/K1aHQusCM\",\"createdAtUtc\":1699564230.163,\"createdByUser\":104960},\"serp_result_tldr_2\":{\"id\":186,\"key\":\"serp_result_tldr_2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"tldr\",\"ratio\":1},{\"key\":\"tldr_no_pill\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_result_tldr_2\",\"createdAtUtc\":1605304879.33},\"login_demographics_modal_V3\":{\"id\":28,\"key\":\"login_demographics_modal_V3\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"show_modal\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"login_demographics_modal_V3\",\"createdAtUtc\":1574269471.874,\"createdByUser\":296941},\"pdp_promo_banner_multi_arm\":{\"id\":193,\"key\":\"pdp_promo_banner_multi_arm\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"account_create\",\"ratio\":0},{\"key\":\"feed_start\",\"ratio\":0},{\"key\":\"get_recommendations\",\"ratio\":0},{\"key\":\"library_save\",\"ratio\":0},{\"key\":\"institution_login\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_promo_banner_multi_arm\",\"createdAtUtc\":1612815293.141,\"createdByUser\":17800},\"cited_by_library_cue_orange\":{\"id\":254,\"key\":\"cited_by_library_cue_orange\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"test\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"cited_by_library_cue_orange\",\"allocationSalt\":\"K4pzIRogJcTIVYUKZmwA4lS9\",\"exposureSalt\":\"2hBud+9SXKQbSV6qVQ6CfFEO\",\"createdAtUtc\":1693503395.337,\"createdByUser\":1203585},\"citation_ranking_v2_4\":{\"id\":191,\"key\":\"citation_ranking_v2_4\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"lambda_0_01\",\"ratio\":0},{\"key\":\"lambda_0_001\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"citation_ranking_v2_4\",\"createdAtUtc\":1609895019.861},\"reader_link_styling\":{\"id\":304,\"key\":\"reader_link_styling\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"no_underline\",\"ratio\":0},{\"key\":\"solid_underline\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"reader_link_styling\",\"allocationSalt\":\"c1r5uUIckNgAkqUPDqebexeP\",\"exposureSalt\":\"mOf/0DZxiMd2BA0RPv/K8meE\",\"createdAtUtc\":1704486299.05,\"createdByUser\":5515660},\"similar_papers_deferred_load\":{\"id\":29,\"key\":\"similar_papers_deferred_load\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"deferred\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"similar_papers_deferred_load\",\"createdAtUtc\":1574297471.733,\"createdByUser\":13508},\"aa_stable_hash_user_alerts_test\":{\"id\":307,\"key\":\"aa_stable_hash_user_alerts_test\",\"variations\":[{\"key\":\"control\",\"ratio\":0.5},{\"key\":\"test\",\"ratio\":0.5}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"aa_stable_hash_user_alerts_test\",\"allocationSalt\":\"zDmuoGPxKsawFuZMGzfKGi9v\",\"exposureSalt\":\"7ZX32aHMfTCuTgSx4JkXKlMZ\",\"createdAtUtc\":1705622255.598,\"createdByUser\":279810},\"alerts_aa_test\":{\"id\":303,\"key\":\"alerts_aa_test\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"alerts_aa_test\",\"allocationSalt\":\"RzqpSzRL4uPHvzX8IKyhjIzb\",\"exposureSalt\":\"PxeMrmBYqz4H9UPIvGIot4Yr\",\"createdAtUtc\":1704416585.065,\"createdByUser\":279810},\"create_library_ftue_modal\":{\"id\":230,\"key\":\"create_library_ftue_modal\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"ftue_modal\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"create_library_ftue_modal\",\"createdAtUtc\":1674860386.892,\"createdByUser\":3962251},\"serp_result_tldr\":{\"id\":174,\"key\":\"serp_result_tldr\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"tldr\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_result_tldr\",\"createdAtUtc\":1603387291.833},\"title_search\":{\"id\":36,\"key\":\"title_search\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"with_title_search\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"title_search\",\"createdAtUtc\":1580860427.985,\"createdByUser\":13508},\"term_understanding\":{\"id\":296,\"key\":\"term_understanding\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"enable_term_understanding\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"term_understanding\",\"allocationSalt\":\"RQnG3DNmHfDLJbrw56FUi44w\",\"exposureSalt\":\"LyspZS2P9fC8fUXB7ZiW/Wa5\",\"createdAtUtc\":1704320552.521,\"createdByUser\":122010},\"remove_boomr\":{\"id\":65,\"key\":\"remove_boomr\",\"variations\":[{\"key\":\"control\",\"ratio\":0.5},{\"key\":\"removed\",\"ratio\":0.5}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"remove_boomr\",\"createdAtUtc\":1586896930.392,\"createdByUser\":104960},\"author_recommendations_timo\":{\"id\":150,\"key\":\"author_recommendations_timo\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"test\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"author_recommendations_timo\",\"createdAtUtc\":1598899313.467},\"ahp_influence_v2\":{\"id\":224,\"key\":\"ahp_influence_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"influence_only\",\"ratio\":0},{\"key\":\"influence_with_recs\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"ahp_influence_v2\",\"createdAtUtc\":1673045213.821,\"createdByUser\":104960},\"pdp_paper_concepts\":{\"id\":124,\"key\":\"pdp_paper_concepts\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"paper_concepts\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_paper_concepts\",\"createdAtUtc\":1593561990.193,\"createdByUser\":397618},\"server_flushing\":{\"id\":133,\"key\":\"server_flushing\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"flush_early\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"server_flushing\",\"createdAtUtc\":1595442114.714,\"createdByUser\":104960},\"citation_icon\":{\"id\":135,\"key\":\"citation_icon\",\"variations\":[{\"key\":\"control\",\"ratio\":0.25},{\"key\":\"control_1\",\"ratio\":0.25},{\"key\":\"cite_icon\",\"ratio\":0.25},{\"key\":\"cite_icon_1\",\"ratio\":0.25}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"citation_icon\",\"createdAtUtc\":1595620503.265},\"figure_modal_with_sticky_footer\":{\"id\":14,\"key\":\"figure_modal_with_sticky_footer\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"sticky_footer\",\"ratio\":1},{\"key\":\"also_control\",\"ratio\":0},{\"key\":\"also_sticky_footer\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"figure_modal_with_sticky_footer\",\"createdAtUtc\":1571682507.920638},\"pdf_note_taking\":{\"id\":227,\"key\":\"pdf_note_taking\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"enable_note_taking\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdf_note_taking\",\"createdAtUtc\":1674073684.134,\"createdByUser\":122010},\"search_suggestions\":{\"id\":149,\"key\":\"search_suggestions\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"search_suggestions\",\"createdAtUtc\":1597855120.147,\"createdByUser\":279810},\"non_personalized_author_cards\":{\"id\":257,\"key\":\"non_personalized_author_cards\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"non_personalized_author_card\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"non_personalized_author_cards\",\"allocationSalt\":\"Uu0DesO5faNa2O6C3hq74JDZ\",\"exposureSalt\":\"+GnSp9JoNN9m32Z+N+sgC0i0\",\"createdAtUtc\":1695771542.292,\"createdByUser\":279810},\"home_page_search_emphasis\":{\"id\":99,\"key\":\"home_page_search_emphasis\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"refreshed\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"home_page_search_emphasis\",\"createdAtUtc\":1589992694.665,\"createdByUser\":243672},\"pdp_top_citation_scorecard_v2\":{\"id\":148,\"key\":\"pdp_top_citation_scorecard_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"top_citing\",\"ratio\":0},{\"key\":\"top_citing_with_counts\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_top_citation_scorecard_v2\",\"createdAtUtc\":1597785885.662,\"createdByUser\":418650},\"annotation_button_placement\":{\"id\":240,\"key\":\"annotation_button_placement\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"side_view\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"annotation_button_placement\",\"createdAtUtc\":1680712272.949,\"createdByUser\":60060},\"author_recs_content\":{\"id\":241,\"key\":\"author_recs_content\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"coauthors_coauthors\",\"ratio\":1},{\"key\":\"citing_citing\",\"ratio\":0},{\"key\":\"referenced_referenced\",\"ratio\":0},{\"key\":\"recommended_coauthors\",\"ratio\":0},{\"key\":\"recommended_citing\",\"ratio\":0},{\"key\":\"recommended_referenced\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"author_recs_content\",\"createdAtUtc\":1681758437.924,\"createdByUser\":104960},\"pdp_fields_of_study_meta\":{\"id\":13,\"key\":\"pdp_fields_of_study_meta\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"fields_of_study\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_fields_of_study_meta\",\"createdAtUtc\":1571345525.982375},\"more_reader_entry_points_v2\":{\"id\":294,\"key\":\"more_reader_entry_points_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"more_reader_entries\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"more_reader_entry_points_v2\",\"allocationSalt\":\"g3qO7k1qHCzkpGMRHW/LF8tU\",\"exposureSalt\":\"5AnBxNB+Hf8tmQuR0A3fSu/N\",\"createdAtUtc\":1704219678.179,\"createdByUser\":1456296},\"ahp_alert_trigger_text\":{\"id\":80,\"key\":\"ahp_alert_trigger_text\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"follow_author_text\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"ahp_alert_trigger_text\",\"createdAtUtc\":1588095281.308,\"createdByUser\":296941},\"aa_stable_hash_session_test\":{\"id\":305,\"key\":\"aa_stable_hash_session_test\",\"variations\":[{\"key\":\"control\",\"ratio\":0.5},{\"key\":\"test\",\"ratio\":0.5}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"aa_stable_hash_session_test\",\"allocationSalt\":\"ZsWVTbjEoTlXMonuWmoEI6g8\",\"exposureSalt\":\"q5SU41THsJqjHxWntmAGmP9L\",\"createdAtUtc\":1705622175.551,\"createdByUser\":279810},\"conn_latency_regional_ping\":{\"id\":84,\"key\":\"conn_latency_regional_ping\",\"variations\":[{\"key\":\"off\",\"ratio\":1},{\"key\":\"control\",\"ratio\":0},{\"key\":\"regional\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"conn_latency_regional_ping\",\"createdAtUtc\":1588637753.189,\"createdByUser\":7612},\"delay_analytics_v2\":{\"id\":131,\"key\":\"delay_analytics_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"test\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"delay_analytics_v2\",\"createdAtUtc\":1595261042.921,\"createdByUser\":122010},\"paper_row_v2_font_only\":{\"id\":233,\"key\":\"paper_row_v2_font_only\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"paper_row_v2_font_only\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"paper_row_v2_font_only\",\"createdAtUtc\":1677873541.999,\"createdByUser\":1203585},\"feed_banner_ad\":{\"id\":77,\"key\":\"feed_banner_ad\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"test_hidden\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"feed_banner_ad\",\"createdAtUtc\":1587792950.912,\"createdByUser\":104960},\"paper_abstract_highlight\":{\"id\":24,\"key\":\"paper_abstract_highlight\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"highlighted_abstract\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"paper_abstract_highlight\",\"createdAtUtc\":1573517189.069,\"createdByUser\":279810},\"paper_cues\":{\"id\":295,\"key\":\"paper_cues\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"cited_by_library_cue_only\",\"ratio\":0},{\"key\":\"all_paper_cues\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"paper_cues\",\"allocationSalt\":\"iPZNSs9i5ZB7UsxDnYiSJ1j3\",\"exposureSalt\":\"1Uu3d8nsVgefVW1zd4hOBVAQ\",\"createdAtUtc\":1704238222.363,\"createdByUser\":279810},\"more_reader_entry_points\":{\"id\":269,\"key\":\"more_reader_entry_points\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"more_reader_entries\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"more_reader_entry_points\",\"allocationSalt\":\"U8Uyls8Cvo1CgshdisJyD8Rc\",\"exposureSalt\":\"9mXVnHYwGK39o3rNt3RxM8u5\",\"createdAtUtc\":1696982769.719,\"createdByUser\":1203585},\"serp_reranker_precompute\":{\"id\":57,\"key\":\"serp_reranker_precompute\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"with_reranker\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_reranker_precompute\",\"createdAtUtc\":1586543693.281,\"createdByUser\":279810},\"app_header_logo_brief\":{\"id\":93,\"key\":\"app_header_logo_brief\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"brief\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"app_header_logo_brief\",\"createdAtUtc\":1589327483.462,\"createdByUser\":243672},\"adaptive_feed\":{\"id\":46,\"key\":\"adaptive_feed\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"test\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"adaptive_feed\",\"createdAtUtc\":1585173166.535,\"createdByUser\":104960},\"view_slides_button\":{\"id\":34,\"key\":\"view_slides_button\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"no_view_slides\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"view_slides_button\",\"createdAtUtc\":1578439638.407},\"alerts_influential_undiscovered_test\":{\"id\":145,\"key\":\"alerts_influential_undiscovered_test\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"influential_author\",\"ratio\":0},{\"key\":\"undiscovered_author\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"alerts_influential_undiscovered_test\",\"createdAtUtc\":1597448656.176},\"citation_ranking_v2_2\":{\"id\":184,\"key\":\"citation_ranking_v2_2\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"lambda_0_1\",\"ratio\":0},{\"key\":\"lambda_0_25\",\"ratio\":0},{\"key\":\"lambda_0_5\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"citation_ranking_v2_2\",\"createdAtUtc\":1605124214.646},\"author_recommendations_ux2\":{\"id\":92,\"key\":\"author_recommendations_ux2\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"local_hint\",\"ratio\":0},{\"key\":\"global_hint\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"author_recommendations_ux2\",\"createdAtUtc\":1589319964.215},\"external_content_display\":{\"id\":208,\"key\":\"external_content_display\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"hidden\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"external_content_display\",\"createdAtUtc\":1641846043.556,\"createdByUser\":279810},\"reader_expanded_toolbar\":{\"id\":299,\"key\":\"reader_expanded_toolbar\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"reader_expanded_toolbar\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"reader_expanded_toolbar\",\"allocationSalt\":\"Prof78hT/SSEROb9Jg+ThHzc\",\"exposureSalt\":\"HfiteM1eYpK3FQEfHgHRdUZd\",\"createdAtUtc\":1704407521.147,\"createdByUser\":5515660},\"pdp_promotion_banner_v2\":{\"id\":187,\"key\":\"pdp_promotion_banner_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"test\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_promotion_banner_v2\",\"createdAtUtc\":1605913918.103,\"createdByUser\":122010},\"serp_author_shoveler\":{\"id\":100,\"key\":\"serp_author_shoveler\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"shoveler\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_author_shoveler\",\"createdAtUtc\":1589992713.115,\"createdByUser\":243672},\"home_page_search_emphasis_labeling\":{\"id\":82,\"key\":\"home_page_search_emphasis_labeling\",\"variations\":[{\"key\":\"control\",\"ratio\":0.5},{\"key\":\"name_only\",\"ratio\":0.5}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"home_page_search_emphasis_labeling\",\"createdAtUtc\":1588614992.156,\"createdByUser\":243672},\"alerts_summarization_relevance\":{\"id\":152,\"key\":\"alerts_summarization_relevance\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"summarization_paper\",\"ratio\":0.5},{\"key\":\"relevance_paper\",\"ratio\":0.5}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"alerts_summarization_relevance\",\"createdAtUtc\":1599006259.913},\"skimming_v2\":{\"id\":265,\"key\":\"skimming_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"enable_skimming_v2\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"skimming_v2\",\"allocationSalt\":\"I6jpxg6rMMcVc//u3j2gorGp\",\"exposureSalt\":\"zO+oh6Ay5Tw5WqD3n5UafS9B\",\"createdAtUtc\":1696610533.731,\"createdByUser\":5079970},\"venues\":{\"id\":297,\"key\":\"venues\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"enable_venues\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"venues\",\"allocationSalt\":\"329jsMMQD8WkYMslCOzgjJX2\",\"exposureSalt\":\"oj8tFgOkhaNTGt7ooVv/JsBQ\",\"createdAtUtc\":1704321118.088,\"createdByUser\":7382062},\"paper_qa\":{\"id\":293,\"key\":\"paper_qa\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"paper_qa\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"paper_qa\",\"allocationSalt\":\"qt0NZDuJvc/mZcxp4D8e67b4\",\"exposureSalt\":\"xyn2zie2A2jvzxjtFkY7zb+D\",\"createdAtUtc\":1702512799.781,\"createdByUser\":104960},\"alerts_influential_undiscovered_test_2\":{\"id\":151,\"key\":\"alerts_influential_undiscovered_test_2\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"influential_author\",\"ratio\":0},{\"key\":\"undiscovered_author\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"alerts_influential_undiscovered_test_2\",\"createdAtUtc\":1598913662.812},\"perf_split_by_route\":{\"id\":112,\"key\":\"perf_split_by_route\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"perf_split_by_route\",\"createdAtUtc\":1591722385.441,\"createdByUser\":104960},\"searchbar_call_to_action\":{\"id\":85,\"key\":\"searchbar_call_to_action\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"icon_only\",\"ratio\":0},{\"key\":\"icon_text\",\"ratio\":1},{\"key\":\"text_only\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"searchbar_call_to_action\",\"createdAtUtc\":1588699236.077,\"createdByUser\":243672},\"pdp_promotion_banner\":{\"id\":178,\"key\":\"pdp_promotion_banner\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"test\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_promotion_banner\",\"createdAtUtc\":1604005807.268,\"createdByUser\":122010},\"alerts_two_types_relevance_v2\":{\"id\":203,\"key\":\"alerts_two_types_relevance_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"relevance_author\",\"ratio\":1},{\"key\":\"relevance_paper\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"RUNNING\"},\"salt\":\"alerts_two_types_relevance_v2\",\"createdAtUtc\":1622833909.823,\"createdByUser\":104960},\"reranked_citations_members\":{\"id\":79,\"key\":\"reranked_citations_members\",\"variations\":[{\"key\":\"control\",\"ratio\":1},{\"key\":\"enable_relevance\",\"ratio\":0}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"reranked_citations_members\",\"createdAtUtc\":1588023578.872,\"createdByUser\":397618},\"serp_filter_redesign_phase1\":{\"id\":129,\"key\":\"serp_filter_redesign_phase1\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"dropdown\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"serp_filter_redesign_phase1\",\"createdAtUtc\":1594680356.082,\"createdByUser\":243672},\"pdp_citation_and_reference_paper_cues\":{\"id\":292,\"key\":\"pdp_citation_and_reference_paper_cues\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"fetch_citation_and_reference_paper_cues_data\",\"ratio\":0},{\"key\":\"enable_citation_and_reference_paper_cues\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_citation_and_reference_paper_cues\",\"allocationSalt\":\"408O4IPYRWWih2XdezFqaUEF\",\"exposureSalt\":\"X4PemPt7z7+0+S1HXT2B6vK7\",\"createdAtUtc\":1702495518.165,\"createdByUser\":279810},\"pdp_fields_of_study_meta_v2\":{\"id\":32,\"key\":\"pdp_fields_of_study_meta_v2\",\"variations\":[{\"key\":\"control\",\"ratio\":0},{\"key\":\"fields_of_study\",\"ratio\":1}],\"trafficRatio\":1,\"status\":{\"value\":\"FINISHED\"},\"salt\":\"pdp_fields_of_study_meta_v2\",\"createdAtUtc\":1575919306.754,\"createdByUser\":317575}}","featuresDynamicConfig":"{\"open_athens_redirect\":{\"id\":251,\"key\":\"open_athens_redirect\",\"trafficRatio\":1,\"salt\":\"open_athens_redirect\",\"createdAtUtc\":1680645063.58,\"createdByUser\":279810,\"durationType\":{\"id\":\"Permanent\"}},\"tldrs\":{\"id\":154,\"key\":\"tldrs\",\"trafficRatio\":1,\"salt\":\"tldrs\",\"createdAtUtc\":1601323268.535,\"createdByUser\":397618,\"durationType\":{\"id\":\"Temporary\"}},\"cite_see\":{\"id\":268,\"key\":\"cite_see\",\"trafficRatio\":1,\"salt\":\"cite_see\",\"createdAtUtc\":1681922890.978,\"createdByUser\":5515660,\"durationType\":{\"id\":\"Temporary\"}},\"library_with_folders_promo\":{\"id\":200,\"key\":\"library_with_folders_promo\",\"trafficRatio\":0,\"salt\":\"library_with_folders_promo\",\"createdAtUtc\":1634144809.028,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"reader_acronyms\":{\"id\":303,\"key\":\"reader_acronyms\",\"trafficRatio\":1,\"salt\":\"reader_acronyms\",\"createdAtUtc\":1696537442.055,\"createdByUser\":4758209,\"durationType\":{\"id\":\"Temporary\"}},\"google_analytics\":{\"id\":273,\"key\":\"google_analytics\",\"trafficRatio\":1,\"salt\":\"google_analytics\",\"createdAtUtc\":1684515093.129,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"blm_bg\":{\"id\":88,\"key\":\"blm_bg\",\"trafficRatio\":0,\"salt\":\"blm_bg\",\"createdAtUtc\":1591235625.917,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"s2_fos_search\":{\"id\":213,\"key\":\"s2_fos_search\",\"trafficRatio\":1,\"salt\":\"s2_fos_search\",\"createdAtUtc\":1648062382.023,\"createdByUser\":243672,\"durationType\":{\"id\":\"Temporary\"}},\"citation_filter_refresh\":{\"id\":146,\"key\":\"citation_filter_refresh\",\"trafficRatio\":1,\"salt\":\"citation_filter_refresh\",\"createdAtUtc\":1599603376.937,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"paper_qa_card\":{\"id\":382,\"key\":\"paper_qa_card\",\"trafficRatio\":0,\"salt\":\"paper_qa_card\",\"createdAtUtc\":1718316243.535,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"minify_js\":{\"id\":359,\"key\":\"minify_js\",\"trafficRatio\":1,\"salt\":\"minify_js\",\"createdAtUtc\":1701205185.737,\"createdByUser\":5515660,\"durationType\":{\"id\":\"Permanent\"}},\"tldr_survey\":{\"id\":216,\"key\":\"tldr_survey\",\"trafficRatio\":0,\"salt\":\"tldr_survey\",\"createdAtUtc\":1650997316.687,\"createdByUser\":122010,\"durationType\":{\"id\":\"Temporary\"}},\"with_entitlements\":{\"id\":259,\"key\":\"with_entitlements\",\"trafficRatio\":1,\"salt\":\"with_entitlements\",\"createdAtUtc\":1680645116.319,\"createdByUser\":279810,\"durationType\":{\"id\":\"Permanent\"}},\"scroll_to_top\":{\"id\":362,\"key\":\"scroll_to_top\",\"trafficRatio\":1,\"salt\":\"scroll_to_top\",\"createdAtUtc\":1701291667.974,\"createdByUser\":7382062,\"durationType\":{\"id\":\"Temporary\"}},\"appcues\":{\"id\":388,\"key\":\"appcues\",\"trafficRatio\":0,\"salt\":\"appcues\",\"createdAtUtc\":1722287855.273,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"use_search_cluster\":{\"id\":100,\"key\":\"use_search_cluster\",\"trafficRatio\":1,\"salt\":\"use_search_cluster\",\"createdAtUtc\":1594753668.01,\"createdByUser\":17800,\"durationType\":{\"id\":\"Temporary\"}},\"aws_waf\":{\"id\":272,\"key\":\"aws_waf\",\"trafficRatio\":1,\"salt\":\"aws_waf\",\"createdAtUtc\":1684515081.125,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"library_with_folders_enrollment_check\":{\"id\":178,\"key\":\"library_with_folders_enrollment_check\",\"trafficRatio\":1,\"salt\":\"library_with_folders_enrollment_check\",\"createdAtUtc\":1614192684.914,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"author_recs_exp\":{\"id\":239,\"key\":\"author_recs_exp\",\"trafficRatio\":1,\"salt\":\"author_recs_exp\",\"createdAtUtc\":1678822982.594,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"auth_google_one_tap\":{\"id\":208,\"key\":\"auth_google_one_tap\",\"trafficRatio\":1,\"salt\":\"auth_google_one_tap\",\"createdAtUtc\":1634767785.356,\"createdByUser\":418650,\"durationType\":{\"id\":\"Permanent\"}},\"citation_filter_perf_test\":{\"id\":134,\"key\":\"citation_filter_perf_test\",\"trafficRatio\":0,\"salt\":\"citation_filter_perf_test\",\"createdAtUtc\":1598589963.818,\"createdByUser\":17800,\"durationType\":{\"id\":\"Temporary\"}},\"pdp_citation_use_multi_get\":{\"id\":153,\"key\":\"pdp_citation_use_multi_get\",\"trafficRatio\":0,\"salt\":\"pdp_citation_use_multi_get\",\"createdAtUtc\":1600813898.843,\"createdByUser\":275432,\"durationType\":{\"id\":\"Temporary\"}},\"weblab_opt_out\":{\"id\":368,\"key\":\"weblab_opt_out\",\"trafficRatio\":0.1,\"salt\":\"weblab_opt_out\",\"createdAtUtc\":1704468502.167,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"hydrate_search_from_ddb\":{\"id\":125,\"key\":\"hydrate_search_from_ddb\",\"trafficRatio\":1,\"salt\":\"hydrate_search_from_ddb\",\"createdAtUtc\":1597954536.025,\"createdByUser\":17800,\"durationType\":{\"id\":\"Temporary\"}},\"highly_influential_citations_scorecard\":{\"id\":161,\"key\":\"highly_influential_citations_scorecard\",\"trafficRatio\":1,\"salt\":\"highly_influential_citations_scorecard\",\"createdAtUtc\":1604433250.494,\"createdByUser\":317575,\"durationType\":{\"id\":\"Temporary\"}},\"swipe\":{\"id\":186,\"key\":\"swipe\",\"trafficRatio\":1,\"salt\":\"swipe\",\"createdAtUtc\":1625090943.16,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"serp_swap_at_ten\":{\"id\":111,\"key\":\"serp_swap_at_ten\",\"trafficRatio\":0,\"salt\":\"serp_swap_at_ten\",\"createdAtUtc\":1596042465.893,\"createdByUser\":17800,\"durationType\":{\"id\":\"Temporary\"}},\"resized_figures\":{\"id\":158,\"key\":\"resized_figures\",\"trafficRatio\":1,\"salt\":\"resized_figures\",\"createdAtUtc\":1603222658.024,\"createdByUser\":275432,\"durationType\":{\"id\":\"Temporary\"}},\"polyfill_loader\":{\"id\":69,\"key\":\"polyfill_loader\",\"trafficRatio\":0,\"salt\":\"polyfill_loader\",\"createdAtUtc\":1584991814.068,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"google_tag_manager\":{\"id\":275,\"key\":\"google_tag_manager\",\"trafficRatio\":1,\"salt\":\"google_tag_manager\",\"createdAtUtc\":1684515100.103,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"related_papers_search_cluster\":{\"id\":176,\"key\":\"related_papers_search_cluster\",\"trafficRatio\":0,\"salt\":\"related_papers_search_cluster\",\"createdAtUtc\":1607970194.289,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"hubspot\":{\"id\":277,\"key\":\"hubspot\",\"trafficRatio\":1,\"salt\":\"hubspot\",\"createdAtUtc\":1684515107.536,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"author_recommendations\":{\"id\":51,\"key\":\"author_recommendations\",\"trafficRatio\":1,\"salt\":\"author_recommendations\",\"createdAtUtc\":1583187352.407,\"createdByUser\":13508,\"durationType\":{\"id\":\"Temporary\"}},\"corona_homepage_ad_dataset\":{\"id\":76,\"key\":\"corona_homepage_ad_dataset\",\"trafficRatio\":0,\"salt\":\"corona_homepage_ad_dataset\",\"createdAtUtc\":1587777572.64,\"createdByUser\":122010,\"durationType\":{\"id\":\"Temporary\"}},\"citation_style_preference\":{\"id\":285,\"key\":\"citation_style_preference\",\"trafficRatio\":1,\"salt\":\"citation_style_preference\",\"createdAtUtc\":1691017029.244,\"createdByUser\":6810356,\"durationType\":{\"id\":\"Temporary\"}},\"swipe_proto\":{\"id\":189,\"key\":\"swipe_proto\",\"trafficRatio\":0,\"salt\":\"swipe_proto\",\"createdAtUtc\":1626463143.886,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"paper_labs\":{\"id\":387,\"key\":\"paper_labs\",\"trafficRatio\":1,\"salt\":\"paper_labs\",\"createdAtUtc\":1719272026.708,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"shared_paper_row\":{\"id\":139,\"key\":\"shared_paper_row\",\"trafficRatio\":1,\"salt\":\"shared_paper_row\",\"createdAtUtc\":1598900554.884,\"createdByUser\":296941,\"durationType\":{\"id\":\"Temporary\"}},\"author_profile_picture\":{\"id\":301,\"key\":\"author_profile_picture\",\"trafficRatio\":1,\"salt\":\"author_profile_picture\",\"createdAtUtc\":1694538971.347,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"layover_rico\":{\"id\":14,\"key\":\"layover_rico\",\"trafficRatio\":1,\"salt\":\"layover_rico\",\"createdAtUtc\":1575306690.596,\"createdByUser\":275432,\"durationType\":{\"id\":\"Temporary\"}},\"author_claim_on_pdp\":{\"id\":107,\"key\":\"author_claim_on_pdp\",\"trafficRatio\":1,\"salt\":\"author_claim_on_pdp\",\"createdAtUtc\":1595008074.767,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"pdp_reference_filterbar\":{\"id\":270,\"key\":\"pdp_reference_filterbar\",\"trafficRatio\":1,\"salt\":\"pdp_reference_filterbar\",\"createdAtUtc\":1682019164.465,\"createdByUser\":4758209,\"durationType\":{\"id\":\"Temporary\"}},\"log_heap_landmarks\":{\"id\":233,\"key\":\"log_heap_landmarks\",\"trafficRatio\":0.01,\"salt\":\"log_heap_landmarks\",\"createdAtUtc\":1670355433.564,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"corona_redirect_to_cord19\":{\"id\":195,\"key\":\"corona_redirect_to_cord19\",\"trafficRatio\":0,\"salt\":\"corona_redirect_to_cord19\",\"createdAtUtc\":1628616403.752,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"corona_homepage_ad_feed\":{\"id\":61,\"key\":\"corona_homepage_ad_feed\",\"trafficRatio\":1,\"salt\":\"corona_homepage_ad_feed\",\"createdAtUtc\":1584123956.584,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"locked_contact_emails\":{\"id\":73,\"key\":\"locked_contact_emails\",\"trafficRatio\":0,\"salt\":\"locked_contact_emails\",\"createdAtUtc\":1586469770.645,\"createdByUser\":122010,\"durationType\":{\"id\":\"Temporary\"}},\"author_claim_email_opt_in\":{\"id\":74,\"key\":\"author_claim_email_opt_in\",\"trafficRatio\":1,\"salt\":\"author_claim_email_opt_in\",\"createdAtUtc\":1586981288.135,\"createdByUser\":296941,\"durationType\":{\"id\":\"Temporary\"}},\"account_management\":{\"id\":93,\"key\":\"account_management\",\"trafficRatio\":1,\"salt\":\"account_management\",\"createdAtUtc\":1593450496.562,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"login_demographics_modal\":{\"id\":249,\"key\":\"login_demographics_modal\",\"trafficRatio\":1,\"salt\":\"login_demographics_modal\",\"createdAtUtc\":1680645043.113,\"createdByUser\":279810,\"durationType\":{\"id\":\"Permanent\"}},\"homepage_ads\":{\"id\":261,\"key\":\"homepage_ads\",\"trafficRatio\":1,\"salt\":\"homepage_ads\",\"createdAtUtc\":1680822124.834,\"createdByUser\":279810,\"durationType\":{\"id\":\"Permanent\"}},\"paper_qa_is_test\":{\"id\":373,\"key\":\"paper_qa_is_test\",\"trafficRatio\":0.5,\"salt\":\"paper_qa_is_test\",\"createdAtUtc\":1706654201.146,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"mobile_alerts\":{\"id\":92,\"key\":\"mobile_alerts\",\"trafficRatio\":1,\"salt\":\"mobile_alerts\",\"createdAtUtc\":1593450441.593,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"all_papers_folders\":{\"id\":235,\"key\":\"all_papers_folders\",\"trafficRatio\":1,\"salt\":\"all_papers_folders\",\"createdAtUtc\":1673977593.126,\"createdByUser\":418650,\"durationType\":{\"id\":\"Temporary\"}},\"paper_labs_card\":{\"id\":381,\"key\":\"paper_labs_card\",\"trafficRatio\":0,\"salt\":\"paper_labs_card\",\"createdAtUtc\":1712090374.748,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"research_prototypes\":{\"id\":369,\"key\":\"research_prototypes\",\"trafficRatio\":1,\"salt\":\"research_prototypes\",\"createdAtUtc\":1704476670.05,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"login_credentials_form\":{\"id\":39,\"key\":\"login_credentials_form\",\"trafficRatio\":1,\"salt\":\"login_credentials_form\",\"createdAtUtc\":1582052535.665,\"createdByUser\":243672,\"durationType\":{\"id\":\"Temporary\"}},\"export\":{\"id\":197,\"key\":\"export\",\"trafficRatio\":1,\"salt\":\"export\",\"createdAtUtc\":1630609585.167,\"createdByUser\":1405553,\"durationType\":{\"id\":\"Temporary\"}},\"web_app_capable_meta_tag\":{\"id\":278,\"key\":\"web_app_capable_meta_tag\",\"trafficRatio\":0,\"salt\":\"web_app_capable_meta_tag\",\"createdAtUtc\":1684515122.818,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"graphql_proxy\":{\"id\":395,\"key\":\"graphql_proxy\",\"trafficRatio\":0,\"salt\":\"graphql_proxy\",\"createdAtUtc\":1726082575.242,\"createdByUser\":5079970,\"durationType\":{\"id\":\"Permanent\"}},\"homepage_ad_public_api\":{\"id\":193,\"key\":\"homepage_ad_public_api\",\"trafficRatio\":1,\"salt\":\"homepage_ad_public_api\",\"createdAtUtc\":1628616385.6,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"reader_skimming\":{\"id\":289,\"key\":\"reader_skimming\",\"trafficRatio\":0,\"salt\":\"reader_skimming\",\"createdAtUtc\":1693934432.639,\"createdByUser\":1456296,\"durationType\":{\"id\":\"Temporary\"}},\"log_dispatches\":{\"id\":247,\"key\":\"log_dispatches\",\"trafficRatio\":0,\"salt\":\"log_dispatches\",\"createdAtUtc\":1680645040.075,\"createdByUser\":279810,\"durationType\":{\"id\":\"Permanent\"}},\"open_athens_login\":{\"id\":22,\"key\":\"open_athens_login\",\"trafficRatio\":1,\"salt\":\"open_athens_login\",\"createdAtUtc\":1579030258.923,\"createdByUser\":122010,\"durationType\":{\"id\":\"Temporary\"}},\"hubspot_newsletter_form\":{\"id\":243,\"key\":\"hubspot_newsletter_form\",\"trafficRatio\":1,\"salt\":\"hubspot_newsletter_form\",\"createdAtUtc\":1680644998.442,\"createdByUser\":279810,\"durationType\":{\"id\":\"Permanent\"}},\"library_with_folders\":{\"id\":182,\"key\":\"library_with_folders\",\"trafficRatio\":1,\"salt\":\"library_with_folders\",\"createdAtUtc\":1623276670.072,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"ahp_search\":{\"id\":136,\"key\":\"ahp_search\",\"trafficRatio\":1,\"salt\":\"ahp_search\",\"createdAtUtc\":1598641315.546,\"createdByUser\":418650,\"durationType\":{\"id\":\"Temporary\"}},\"pdp_use_dynamo\":{\"id\":108,\"key\":\"pdp_use_dynamo\",\"trafficRatio\":1,\"salt\":\"pdp_use_dynamo\",\"createdAtUtc\":1595265292.527,\"createdByUser\":275432,\"durationType\":{\"id\":\"Temporary\"}},\"paper_qa_pairwise\":{\"id\":383,\"key\":\"paper_qa_pairwise\",\"trafficRatio\":1,\"salt\":\"paper_qa_pairwise\",\"createdAtUtc\":1718316251.201,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"term_understanding\":{\"id\":307,\"key\":\"term_understanding\",\"trafficRatio\":1,\"salt\":\"term_understanding\",\"createdAtUtc\":1699479665.13,\"createdByUser\":5515660,\"durationType\":{\"id\":\"Temporary\"}},\"related_papers_paper_card\":{\"id\":147,\"key\":\"related_papers_paper_card\",\"trafficRatio\":1,\"salt\":\"related_papers_paper_card\",\"createdAtUtc\":1600119003.909,\"createdByUser\":296941,\"durationType\":{\"id\":\"Temporary\"}},\"author_add_papers_index_requests\":{\"id\":78,\"key\":\"author_add_papers_index_requests\",\"trafficRatio\":1,\"salt\":\"author_add_papers_index_requests\",\"createdAtUtc\":1588025862.935,\"durationType\":{\"id\":\"Temporary\"}},\"ahp_influence_v2\":{\"id\":226,\"key\":\"ahp_influence_v2\",\"trafficRatio\":1,\"salt\":\"ahp_influence_v2\",\"createdAtUtc\":1663272990.874,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"ahp_paper_suggestions\":{\"id\":157,\"key\":\"ahp_paper_suggestions\",\"trafficRatio\":1,\"salt\":\"ahp_paper_suggestions\",\"createdAtUtc\":1602875494.921,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"account_contact_section\":{\"id\":35,\"key\":\"account_contact_section\",\"trafficRatio\":1,\"salt\":\"account_contact_section\",\"createdAtUtc\":1581109015.471,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"pdf_note_taking\":{\"id\":377,\"key\":\"pdf_note_taking\",\"trafficRatio\":0,\"salt\":\"pdf_note_taking\",\"createdAtUtc\":1706727048.428,\"createdByUser\":5515660,\"durationType\":{\"id\":\"Permanent\"}},\"pdf_reader\":{\"id\":217,\"key\":\"pdf_reader\",\"trafficRatio\":1,\"salt\":\"pdf_reader\",\"createdAtUtc\":1650997593.84,\"createdByUser\":122010,\"durationType\":{\"id\":\"Temporary\"}},\"library_recommendations\":{\"id\":206,\"key\":\"library_recommendations\",\"trafficRatio\":1,\"salt\":\"library_recommendations\",\"createdAtUtc\":1634156023.125,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"cognito_login_by_email\":{\"id\":40,\"key\":\"cognito_login_by_email\",\"trafficRatio\":1,\"salt\":\"cognito_login_by_email\",\"createdAtUtc\":1582052543.402,\"createdByUser\":243672,\"durationType\":{\"id\":\"Temporary\"}},\"ahp_pronouns\":{\"id\":212,\"key\":\"ahp_pronouns\",\"trafficRatio\":1,\"salt\":\"ahp_pronouns\",\"createdAtUtc\":1643327352.281,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"ahp_author_recs\":{\"id\":228,\"key\":\"ahp_author_recs\",\"trafficRatio\":1,\"salt\":\"ahp_author_recs\",\"createdAtUtc\":1664924105.792,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"author_claim_ad\":{\"id\":126,\"key\":\"author_claim_ad\",\"trafficRatio\":0,\"salt\":\"author_claim_ad\",\"createdAtUtc\":1598031072.916,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"tldrs_v2\":{\"id\":188,\"key\":\"tldrs_v2\",\"trafficRatio\":1,\"salt\":\"tldrs_v2\",\"createdAtUtc\":1625604310.204,\"createdByUser\":13508,\"durationType\":{\"id\":\"Temporary\"}},\"serp_swap\":{\"id\":9,\"key\":\"serp_swap\",\"trafficRatio\":0,\"salt\":\"serp_swap\",\"createdAtUtc\":1574101469.563,\"createdByUser\":13508,\"durationType\":{\"id\":\"Temporary\"}},\"ahp_search_mobile\":{\"id\":149,\"key\":\"ahp_search_mobile\",\"trafficRatio\":1,\"salt\":\"ahp_search_mobile\",\"createdAtUtc\":1600377103.296,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"paper_qa_exp\":{\"id\":378,\"key\":\"paper_qa_exp\",\"trafficRatio\":0,\"salt\":\"paper_qa_exp\",\"createdAtUtc\":1708731195.839,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"citations_swap\":{\"id\":71,\"key\":\"citations_swap\",\"trafficRatio\":0,\"salt\":\"citations_swap\",\"createdAtUtc\":1585594181.26,\"createdByUser\":13508,\"durationType\":{\"id\":\"Temporary\"}},\"copyright_banner\":{\"id\":21,\"key\":\"copyright_banner\",\"trafficRatio\":1,\"salt\":\"copyright_banner\",\"createdAtUtc\":1578360142.639,\"createdByUser\":122010,\"durationType\":{\"id\":\"Temporary\"}},\"arr_v2\":{\"id\":179,\"key\":\"arr_v2\",\"trafficRatio\":1,\"salt\":\"arr_v2\",\"createdAtUtc\":1617728520.021,\"createdByUser\":296941,\"durationType\":{\"id\":\"Temporary\"}},\"homepage_ad_browser_ext\":{\"id\":192,\"key\":\"homepage_ad_browser_ext\",\"trafficRatio\":0,\"salt\":\"homepage_ad_browser_ext\",\"createdAtUtc\":1628616378.618,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"research_ftue\":{\"id\":205,\"key\":\"research_ftue\",\"trafficRatio\":1,\"salt\":\"research_ftue\",\"createdAtUtc\":1634156013.789,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"homepage_ad_semantic_reader\":{\"id\":184,\"key\":\"homepage_ad_semantic_reader\",\"trafficRatio\":1,\"salt\":\"homepage_ad_semantic_reader\",\"createdAtUtc\":1623777923.186,\"createdByUser\":418650,\"durationType\":{\"id\":\"Temporary\"}},\"reader_legacy\":{\"id\":227,\"key\":\"reader_legacy\",\"trafficRatio\":0,\"salt\":\"reader_legacy\",\"createdAtUtc\":1663351488.313,\"createdByUser\":1405553,\"durationType\":{\"id\":\"Temporary\"}},\"use_fallback_search_reranker_service\":{\"id\":121,\"key\":\"use_fallback_search_reranker_service\",\"trafficRatio\":0,\"salt\":\"use_fallback_search_reranker_service\",\"createdAtUtc\":1596726537.779,\"durationType\":{\"id\":\"Temporary\"}},\"pdp_citation_suggestions\":{\"id\":156,\"key\":\"pdp_citation_suggestions\",\"trafficRatio\":1,\"salt\":\"pdp_citation_suggestions\",\"createdAtUtc\":1602114025.467,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"satisfaction_survey\":{\"id\":255,\"key\":\"satisfaction_survey\",\"trafficRatio\":0,\"salt\":\"satisfaction_survey\",\"createdAtUtc\":1680645088.121,\"createdByUser\":279810,\"durationType\":{\"id\":\"Permanent\"}},\"faq_contentful\":{\"id\":17,\"key\":\"faq_contentful\",\"trafficRatio\":1,\"salt\":\"faq_contentful\",\"createdAtUtc\":1576263418.926,\"createdByUser\":122010,\"durationType\":{\"id\":\"Temporary\"}},\"research_homepage\":{\"id\":175,\"key\":\"research_homepage\",\"trafficRatio\":1,\"salt\":\"research_homepage\",\"createdAtUtc\":1607463015.533,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"venues_page\":{\"id\":356,\"key\":\"venues_page\",\"trafficRatio\":1,\"salt\":\"venues_page\",\"createdAtUtc\":1700614367.568,\"createdByUser\":7382062,\"durationType\":{\"id\":\"Temporary\"}},\"corona_homepage_ad\":{\"id\":62,\"key\":\"corona_homepage_ad\",\"trafficRatio\":1,\"salt\":\"corona_homepage_ad\",\"createdAtUtc\":1584123961.411,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"feed_alerts\":{\"id\":82,\"key\":\"feed_alerts\",\"trafficRatio\":1,\"salt\":\"feed_alerts\",\"createdAtUtc\":1590623880.712,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"heap\":{\"id\":389,\"key\":\"heap\",\"trafficRatio\":0,\"salt\":\"heap\",\"createdAtUtc\":1722895763.078,\"createdByUser\":5515660,\"durationType\":{\"id\":\"Permanent\"}},\"supp_ai_homepage_link\":{\"id\":60,\"key\":\"supp_ai_homepage_link\",\"trafficRatio\":0,\"salt\":\"supp_ai_homepage_link\",\"createdAtUtc\":1584121459.792,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"homepage_ad_tldr\":{\"id\":194,\"key\":\"homepage_ad_tldr\",\"trafficRatio\":0,\"salt\":\"homepage_ad_tldr\",\"createdAtUtc\":1628616388.619,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"adaptive_feed\":{\"id\":52,\"key\":\"adaptive_feed\",\"trafficRatio\":1,\"salt\":\"adaptive_feed\",\"createdAtUtc\":1583349014.496,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"corona_sample_searches\":{\"id\":155,\"key\":\"corona_sample_searches\",\"trafficRatio\":0,\"salt\":\"corona_sample_searches\",\"createdAtUtc\":1601414294.158,\"createdByUser\":243672,\"durationType\":{\"id\":\"Temporary\"}},\"ahp_sort_pref\":{\"id\":288,\"key\":\"ahp_sort_pref\",\"trafficRatio\":0,\"salt\":\"ahp_sort_pref\",\"createdAtUtc\":1693335307.595,\"createdByUser\":1545875,\"durationType\":{\"id\":\"Temporary\"}},\"google_fonts\":{\"id\":274,\"key\":\"google_fonts\",\"trafficRatio\":1,\"salt\":\"google_fonts\",\"createdAtUtc\":1684515096.092,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"shareable_library\":{\"id\":279,\"key\":\"shareable_library\",\"trafficRatio\":1,\"salt\":\"shareable_library\",\"createdAtUtc\":1686871168.555,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"mobile_library\":{\"id\":196,\"key\":\"mobile_library\",\"trafficRatio\":1,\"salt\":\"mobile_library\",\"createdAtUtc\":1629742897.385,\"createdByUser\":1405553,\"durationType\":{\"id\":\"Temporary\"}},\"author_stats_gql\":{\"id\":218,\"key\":\"author_stats_gql\",\"trafficRatio\":1,\"salt\":\"author_stats_gql\",\"createdAtUtc\":1659113732.302,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"pdp_citation_paper_data_from_dynamo\":{\"id\":115,\"key\":\"pdp_citation_paper_data_from_dynamo\",\"trafficRatio\":1,\"salt\":\"pdp_citation_paper_data_from_dynamo\",\"createdAtUtc\":1596492912.408,\"createdByUser\":275432,\"durationType\":{\"id\":\"Temporary\"}},\"semantic_reader\":{\"id\":181,\"key\":\"semantic_reader\",\"trafficRatio\":1,\"salt\":\"semantic_reader\",\"createdAtUtc\":1621035787.089,\"createdByUser\":418650,\"durationType\":{\"id\":\"Temporary\"}},\"feed_dual_writing\":{\"id\":177,\"key\":\"feed_dual_writing\",\"trafficRatio\":1,\"salt\":\"feed_dual_writing\",\"createdAtUtc\":1613514744.267,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"layover_client\":{\"id\":260,\"key\":\"layover_client\",\"trafficRatio\":1,\"salt\":\"layover_client\",\"createdAtUtc\":1680654518.259,\"createdByUser\":104960,\"durationType\":{\"id\":\"Permanent\"}},\"suggested_searches_from_campaign\":{\"id\":122,\"key\":\"suggested_searches_from_campaign\",\"trafficRatio\":1,\"salt\":\"suggested_searches_from_campaign\",\"createdAtUtc\":1596752591.76,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"paper_qa\":{\"id\":370,\"key\":\"paper_qa\",\"trafficRatio\":1,\"salt\":\"paper_qa\",\"createdAtUtc\":1704476689.593,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"reader_skimming_v2\":{\"id\":294,\"key\":\"reader_skimming_v2\",\"trafficRatio\":1,\"salt\":\"reader_skimming_v2\",\"createdAtUtc\":1694110380.318,\"createdByUser\":1456296,\"durationType\":{\"id\":\"Temporary\"}},\"research_homepage_survey\":{\"id\":174,\"key\":\"research_homepage_survey\",\"trafficRatio\":1,\"salt\":\"research_homepage_survey\",\"createdAtUtc\":1607463007.332,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"mobile_account_nav\":{\"id\":91,\"key\":\"mobile_account_nav\",\"trafficRatio\":1,\"salt\":\"mobile_account_nav\",\"createdAtUtc\":1593450438.458,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"emergency_banner\":{\"id\":95,\"key\":\"emergency_banner\",\"trafficRatio\":0,\"salt\":\"emergency_banner\",\"createdAtUtc\":1593723640.219,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"feed_alerts_dual_writing\":{\"id\":199,\"key\":\"feed_alerts_dual_writing\",\"trafficRatio\":1,\"salt\":\"feed_alerts_dual_writing\",\"createdAtUtc\":1632334769.442,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}},\"corona_homepage_link\":{\"id\":65,\"key\":\"corona_homepage_link\",\"trafficRatio\":0,\"salt\":\"corona_homepage_link\",\"createdAtUtc\":1584381720.95,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"validate_user_images\":{\"id\":281,\"key\":\"validate_user_images\",\"trafficRatio\":1,\"salt\":\"validate_user_images\",\"createdAtUtc\":1687538380.025,\"createdByUser\":104960,\"durationType\":{\"id\":\"Temporary\"}},\"similar_papers_pdp\":{\"id\":257,\"key\":\"similar_papers_pdp\",\"trafficRatio\":1,\"salt\":\"similar_papers_pdp\",\"createdAtUtc\":1680645103.763,\"createdByUser\":279810,\"durationType\":{\"id\":\"Permanent\"}},\"author_h_index\":{\"id\":64,\"key\":\"author_h_index\",\"trafficRatio\":1,\"salt\":\"author_h_index\",\"createdAtUtc\":1584381227.418,\"createdByUser\":296941,\"durationType\":{\"id\":\"Temporary\"}},\"recommender_serp_ad\":{\"id\":18,\"key\":\"recommender_serp_ad\",\"trafficRatio\":0,\"salt\":\"recommender_serp_ad\",\"createdAtUtc\":1576625639.579,\"createdByUser\":279810,\"durationType\":{\"id\":\"Temporary\"}}}"};</script> <script src="https://cdn.semanticscholar.org/cc14908dec8ae521/js/bundle-2019.js" type="text/javascript" async defer crossorigin></script> <script src="https://cdn.semanticscholar.org/cc14908dec8ae521/js/bundle-2429.js" type="text/javascript" async defer crossorigin></script> <script src="https://cdn.semanticscholar.org/cc14908dec8ae521/js/bundle-5270.js" type="text/javascript" async defer crossorigin></script> <script src="https://cdn.semanticscholar.org/cc14908dec8ae521/js/BrowserEntry.tsx.js" type="text/javascript" async defer crossorigin></script> <script>window.GOOGLE_LOGIN_CLIENT_ID = '245064204415-q7jm6climoibboisc283192rt0f2od0l.apps.googleusercontent.com';</script> <script>function gtElInit() {var lib = new google.translate.TranslateService();lib.translatePage('en', 'en', function () {});}</script> <script src="https://translate.google.com/translate_a/element.js?cb=gtElInit&hl=en-GB&client=wt" type="text/javascript"></script> </body> </html>