CINXE.COM
Document Search Results - zbMATH Open
<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Document Search Results - zbMATH Open</title> <meta name="viewport" content="width=device-width, minimum-scale=0.1, maximum-scale=5.0"> <meta name="robots" content="noarchive, noindex"> <meta name="referrer" content="origin-when-cross-origin"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap-theme.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.css" rel="stylesheet" media="screen,print"> <link rel="stylesheet" href="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/css/bootstrap-select.min.css"> <link href="/static/css/smoothness/jquery-ui-1.10.1.custom.min.css" rel="stylesheet" media="screen"> <link href="/static/styles.css?v=20241024" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/zbMathJax/v0.1.38/zbmathjax.css" rel="stylesheet" media="screen,print"> <link rel="shortcut icon" href="/static/zbmath.ico"> <script type="application/ld+json"> { "@context": "http://schema.org", "@type": "Organization", "url": "https://zbmath.org/", "logo": "https://zbmath.org/static/zbMATH.png" } </script> </head> <body> <div id="line"></div> <span id="clear" style="cursor: pointer;">×</span> <div id="page"> <div id="head"> <nav id="menu" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#zbnav" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span> </button> <a class="navbar-brand" href="#"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open logo"> </a> </div> <div id="zbnav" class="collapse navbar-collapse"> <ul class="nav navbar-nav pages"> <li class="about"> <a href="/about/">About</a> </li> <li class="frequently-asked-questions"> <a href="/frequently-asked-questions/">FAQ</a> </li> <li class="general-help"> <a href="/general-help/">General Help</a> </li> <li class="reviewer-service"> <a href="https://zbmath.org/reviewer-service/" target="_self" >Reviewer Service</a> </li> <li> <a href="/tools-and-resources/">Tools & Resources</a> </li> <li class="contact"> <a href="/contact/">Contact</a> </li> </ul> <ul class="nav navbar-nav navbar-right prefs"> <li class="preferences dropdown"> <a data-toggle="dropdown" href="#">Preferences <i class="caret"></i></a> <ul class="dropdown-menu preferences"> <li> <form id="preferences" class="navbar-form" method="post" action="/preferences/" onsubmit="return confirm('This website uses cookies for the purposes of storing preference information on your device. Do you agree to this?\n\nPlease refer to our Privacy Policy to learn more about our use of cookies.')" > <input type="hidden" name="path" value="/?q=rf%3A2153492"> <span class=""> <label class="title">Search Form</label> <div class="form-group"> <input id="search-multi-line" type="radio" name="search" value="multi-line" checked> <label for="search-multi-line" class="radio">Multi-Line Search (default)</label> </div> <div class="form-group"> <input id="search-one-line" type="radio" name="search" value="one-line"> <label for="search-one-line" class="radio">One-Line Search</label> </div> </span> <span class="count"> <label class="title">Hits per Page</label> <div class="form-group"> <input id="count-10" type="radio" name="count" value="10"> <label for="count-10" class="radio">10</label> </div> <div class="form-group"> <input id="count-20" type="radio" name="count" value="20"> <label for="count-20" class="radio">20</label> </div> <div class="form-group"> <input id="count-50" type="radio" name="count" value="50"> <label for="count-50" class="radio">50</label> </div> <div class="form-group"> <input id="count-100" type="radio" name="count" value="100" checked> <label for="count-100" class="radio">100 (default)</label> </div> <div class="form-group"> <input id="count-200" type="radio" name="count" value="200"> <label for="count-200" class="radio">200</label> </div> </span> <span class="format"> <label class="title">Display Format</label> <div class="form-group"> <input id="format-mathjax" type="radio" name="format" value="mathjax" checked> <label for="format-mathjax" class="radio">MathJax (default)</label> </div> <div class="form-group"> <input id="format-amstex" type="radio" name="format" value="latex"> <label for="format-amstex" class="radio">LaTeX</label> </div> </span> <span class="ranking"> <label class="title">Documents Sorting</label> <div class="form-group"> <input id="documents-ranking-default" type="radio" name="documents_ranking" value="date" checked> <label for="documents-ranking-default" class="radio">Newest first (default)</label> </div> <div class="form-group"> <input id="documents-ranking-references" type="radio" name="documents_ranking" value="references"> <label for="documents-ranking-references" class="radio">Citations</label> </div> <div class="form-group"> <input id="documents-ranking-relevance" type="radio" name="documents_ranking" value="relevance"> <label for="documents-ranking-relevance" class="radio">Relevance</label> </div> </span> <span class="ranking"> <label class="title">Authors Sorting</label> <div class="form-group"> <input id="authors-ranking-default" type="radio" name="authors_ranking" value="alpha" checked> <label for="authors-ranking-default" class="radio">Alphabetically (default)</label> </div> <div class="form-group"> <input id="authors-ranking-references" type="radio" name="authors_ranking" value="references"> <label for="authors-ranking-references" class="radio">Citations</label> </div> </span> <span class="ranking"> <label class="title">Serials Sorting</label> <div class="form-group"> <input id="serials-ranking-default" type="radio" name="serials_ranking" value="alpha" checked> <label for="serials-ranking-default" class="radio">Alphabetically (default)</label> </div> <div class="form-group"> <input id="serials-ranking-references" type="radio" name="serials_ranking" value="references"> <label for="serials-ranking-references" class="radio">Citations</label> </div> </span> <span class="ranking"> <label class="title">Software Sorting</label> <div class="form-group"> <input id="software-ranking-default" type="radio" name="software_ranking" value="references" checked> <label for="software-ranking-default" class="radio">Citations (default)</label> </div> <div class="form-group"> <input id="software-ranking-alpha" type="radio" name="software_ranking" value="alpha"> <label for="software-ranking-alpha" class="radio">Alphabetically</label> </div> </span> <button type="submit" class="btn btn-default">OK</button> <div class="clearfix"> </form> </li> </ul> </li> </ul> </div> </div> </nav> <div id="tabs"> <h1 class="logo"> <a class="logo" href="/"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open — the first resource for mathematics" > </a> </h1> <nav> <ul class="nav nav-tabs"> <li class="tab-documents active"> <a href="/">Documents</a> </li> <li class="tab-authors"> <a href="/authors/">Authors</a> </li> <li class="tab-serials"> <a href="/serials/">Serials</a> </li> <li class="tab-software"> <a href="/software/">Software</a> </li> <li class="tab-classification"> <a href="/classification/">Classification</a> </li> <li class="tab-formulae"> <a href="/formulae/">Formulæ</a> </li> </ul> </nav> <div class="clearfix"></div> </div> <div class="content-fixed"> <div class="content-formular"> <div style="display: none;"> <div class="row ml-0"id="multi-line-new-line" style="display: none;"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-0-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-0-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input"> <span class="multi-line-value" id="multi-line-type-range"><span style="padding-left: 5px;">from</span> <input name="ml-0-v1" class="form-control multi-line-input" type="text" value="" aria-label="value"> until <input name="ml-0-v2" class="form-control multi-line-input" type="text" value="" aria-label="value"></span> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-la" placeholder="use name or ISO code"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-rv" placeholder="enter name or zbMATH reviewer number"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-an" placeholder="Zbl, JFM or ERAM number"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-en" placeholder="e.g. DOI, ISBN, arXiv ID"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="One-Line Search allows for free logical combinations of search fields" aria-label="One-Line Search allows for free logical combinations of search fields" data-placement="bottom"></span> <a style="display: inline-block;" href="#">One-Line Search <span class="glyphicon glyphicon-search"></span></a> </li> </ul> </div> <div class="clearfix"></div> <div class="container-fluid"> <input type="hidden" id="multi-line-ml" name="ml" value="3"> <div id="multi-line-row-wrapper"> <div class="row ml-1"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-1-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au" selected>Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-real"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label for="dt-j" title="search for Articles in Journals"> <input type="checkbox" id="dt-j" name="dt" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label for="dt-a" title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" id="dt-a" name="dt" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label for="dt-b" title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" id="dt-b" name="dt" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="rf:2153492" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span> </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span> </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span> </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span> </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span> </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span> </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span> </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span> </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span> </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span> </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span> </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span> </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span> </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span> </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span> </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span> </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. Queries are <strong>case-independent</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Funct%2A">Funct*</a></span> <span class="search-explanation" role="cell"><strong>Wildcard</strong> queries are specified by <strong><u>*</u></strong> (e.g. <em>functions</em>, <em>functorial</em>, etc.). Otherwise the search is <strong>exact</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Topological+group%22">"Topological group"</a></span> <span class="search-explanation" role="cell"><strong>Phrases</strong> (multi-words) should be set in <u>"</u>straight quotation marks<u>"</u>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Bourbaki+%26+ti%3A+Algebra">au: Bourbaki & ti: Algebra</a></span> <span class="search-explanation" role="cell">Search for <strong><u>au</u>thor</strong> and <strong><u>ti</u>tle</strong>. The <strong>and-operator &</strong> is default and can be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Chebyshev+%7C+Tschebyscheff">Chebyshev | Tschebyscheff</a></span> <span class="search-explanation" role="cell">The <strong>or-operator |</strong> allows to search for <em>Chebyshev</em> or <em>Tschebyscheff</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Quasi%2A+map%2A+py%3A+1989">Quasi* map* py: 1989</a></span> <span class="search-explanation" role="cell">The resulting documents have <strong><u>p</u>ublication <u>y</u>ear</strong> <em>1989</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=so%3A+Eur%2A+J%2A+Mat%2A+Soc%2A+cc%3A+14">so: Eur* J* Mat* Soc* cc: 14</a></span> <span class="search-explanation" role="cell">Search for publications in a particular <strong><u>so</u>urce</strong> with a <strong>Mathematics Subject <u>C</u>lassification <u>c</u>ode (<u>cc</u>)</strong> in <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Partial+diff%2A+eq%2A%22+%21+elliptic">"Partial diff* eq*" ! elliptic</a></span> <span class="search-explanation" role="cell">The <strong>not</strong>-operator <strong>!</strong> eliminates all results containing the word <em>elliptic</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=dt%3A+b+%26+au%3A+Hilbert">dt: b & au: Hilbert</a></span> <span class="search-explanation" role="cell">The <strong><u>d</u>ocument <u>t</u>ype</strong> is set to books; alternatively: <u>j</u> for <strong>journal articles</strong>, <u>a</u> for <strong>book articles</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=py%3A+2000-2015+cc%3A+%2894A+%7C+11T%29">py: 2000-2015 cc: (94A | 11T)</a></span> <span class="search-explanation" role="cell">Number <strong>ranges</strong> are accepted. Terms can be grouped within <strong><u>(</u>parentheses<u>)</u></strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=la%3A+chinese">la: chinese</a></span> <span class="search-explanation" role="cell">Find documents in a given <strong><u>la</u>nguage</strong>. <a href="http://en.wikipedia.org/wiki/ISO_639-1">ISO 639-1</a> language codes can also be used.</span> </div> </div> <div id="help-fields"> <h2>Fields</h2> <table> <tr> <td class="nowrap padding" role="rowheader"><strong>any</strong></td> <td class="padding">anywhere</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>an</strong></td> <td class="padding">internal document identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>au</strong></td> <td class="padding">author, editor</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ai</strong></td> <td class="padding">internal author identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ti</strong></td> <td class="padding">title</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>la</strong></td> <td class="padding">language</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>so</strong></td> <td class="padding">source</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ab</strong></td> <td class="padding">review, abstract</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>py</strong></td> <td class="padding">publication year</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>rv</strong></td> <td class="padding">reviewer</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>cc</strong></td> <td class="padding">MSC code</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ut</strong></td> <td class="padding">uncontrolled term</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>dt</strong></td> <td class="padding" colspan="4">document type (<strong>j</strong>: journal article; <strong>b</strong>: book; <strong>a</strong>: book article)</td> </tr> </table> </div> <div id="help-operators"> <h2>Operators</h2> <table> <tr> <td class="nowrap padding" role="rowheader">a <strong>&</strong> b</td> <td class="padding">logic and</td> </tr> <tr> <td class="nowrap padding" role="rowheader">a <strong>|</strong> b</td> <td class="padding">logic or</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>!</strong>ab</td> <td class="padding">logic not</td> </tr> <tr> <td class="nowrap padding" role="rowheader">abc<strong>*</strong></td> <td class="padding">right wildcard</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>"</strong>ab c<strong>"</strong></td> <td class="padding">phrase</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>(</strong>ab c<strong>)</strong></td> <td class="padding">parentheses</td> </tr> </table> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <div class="clearfix"></div> </div> <div class="content-option"><div class="navigation"> <div class="function input-group"> <div class="btn-group"> <button name="mark" value="mark" class="btn btn-default btn-xs mark-btn" type="button"><strong>Mark All</strong></button> <div class="btn-group display-marked-items"> <button type="button" class="btn btn-default btn-xs dropdown-toggle" data-toggle="dropdown"> <strong>Display Marked Items</strong> <span class="caret"></span> </button> <span id="display-query" class="tex2jax_ignore" style="display: none;">rf:2153492</span> <span id="display-formula" style="display: none;"></span> <span id="display-start" style="display: none;">0</span> <span id="display-count" style="display: none;">100</span> <span id="display-format" style="display: none;">mathjax</span> <span id="display-ranking" style="display: none;">date</span> <ul class="dropdown-menu"> <li> <a href="#" class="display-html">HTML</a> </li> <li> <a href="#" class="display-pdf-short">PDF (short)</a> </li> <li> <a href="#" class="display-pdf-long">PDF (long)</a> </li> <li> <a href="#" class="display-latexci">LaTeX Citation</a> </li> <li> <a href="#" class="display-bibtex">BibTeX</a> </li> <li> <a href="#" class="display-amsrefs">AMSRef</a> </li> </ul> </div> </div> </div> <div class="page-navigation"> <span class="title"> Page <strong>1</strong> of <strong>1</strong> </span> <div class="pages btn-group"> <a class="btn btn-default btn-xs first disabled" tabindex="-1" type="button" href="/?q=rf%3A2153492" title="">First</a> <a class="btn btn-default btn-xs previous disabled" tabindex="-1" type="button" href="/?q=rf%3A2153492" title="">Prev</a> <a class="btn btn-default btn-xs page" type="button" href="/?q=rf%3A2153492" title="">♦</a> <a class="btn btn-default btn-xs next disabled" tabindex="-1" type="button" href="/?q=rf%3A2153492" title="">Next</a> <a class="btn btn-default btn-xs last disabled" tabindex="-1" type="button" href="/?q=rf%3A2153492" title="">Last</a> </div> </div> <div class="ranking"> <input type="checkbox" name="r" id="ranking" value="xx"><span> Sorting</span> </div> <div class="clearfix"></div> </div> <div class="clearfix"></div></div> <div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="documents"> <div class="content-main" role="list" style="padding-top: 20px;"> <div class="content-title"> <div class="head"> <h2>Found 26 Documents <small>(Results 1–26)</small> </h2> </div> </div> <div class="content-clear"></div> <section class="content-result" role="list"><div class="meta row"> <div class="count col-sm-4 col-sm-offset-8"> <div class="function btn-group" style="float: right;" role="group" aria-label="sort by"> <a class="btn btn-default btn-xs active " title="sort by date">Newest</a> <a class="btn btn-default btn-xs " href="/?q=rf%3A2153492&r=references " title="sort by number of citations">Citations</a> <a class="btn btn-default btn-xs " href="/?q=rf%3A2153492&r=relevance " title="sort by relevance">Relevance</a> </div> </div> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7896263" value="7896263" aria-label="mark item Zbl 1545.33013"></div> <div class="author"><a href="/authors/verma.ashish" title="Author Profile">Verma, Ashish</a>; <a href="/authors/yadav.komal-singh" title="Author Profile">Yadav, Komal Singh</a>; <a href="/authors/patel.raj-karan" title="Author Profile">Patel, Raj Karan</a></div> <h3 class="title"> <a href="/1545.33013"><strong>On the incomplete fourth Appell hypergeometric matrix functions \(\gamma_4\) and \(\Gamma_4\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1545.33013">Zbl 1545.33013</a> </h3> <div class="source"> <a href="/serials/3647" title="Journal Profile">Proyecciones</a> <a href="/?q=in%3A515879" title="Articles in this Issue">43, No. 3, 539-553 (2024)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C65" title="Appell, Horn and Lauricella functions">33C65</a> <a class="mono" href="/classification/?q=cc%3A15A15" title="Determinants, permanents, traces, other special matrix functions">15A15</a> <a class="mono" href="/classification/?q=cc%3A33B15" title="Gamma, beta and polygamma functions">33B15</a> <a class="mono" href="/classification/?q=cc%3A33B20" title="Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)">33B20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1545.33013" data-ciurl="/ci/07896263" data-biburl="/bibtex/07896263.bib" data-amsurl="/amsrefs/07896263.bib" data-xmlurl="/xml/07896263.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07896263.pdf" title="Zbl 1545.33013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.22199/issn.0717-6279-5891" aria-label="DOI for “On the incomplete fourth Appell hypergeometric matrix functions \(\gamma_4\) and \(\Gamma_4\)”" title="10.22199/issn.0717-6279-5891">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7894521" value="7894521" aria-label="mark item Zbl 1545.33018"></div> <div class="author"><a href="/authors/dwivedi.ravi" title="Author Profile">Dwivedi, Ravi</a>; <a href="/authors/sanjhira.reshma-r" title="Author Profile">Sanjhira, Reshma</a></div> <h3 class="title"> <a href="/1545.33018"><strong>On the matrix function \(_{p}R_{q} (A, B; z)\) and its fractional calculus properties.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1545.33018">Zbl 1545.33018</a> </h3> <div class="source"> <a href="/serials/7473" title="Journal Profile">Commun. Math.</a> <a href="/?q=in%3A515760" title="Articles in this Issue">31, No. 1, 43-56 (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33E12" title="Mittag-Leffler functions and generalizations">33E12</a> <a class="mono" href="/classification/?q=cc%3A15A16" title="Matrix exponential and similar functions of matrices">15A16</a> <a class="mono" href="/classification/?q=cc%3A33C70" title="Other hypergeometric functions and integrals in several variables">33C70</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1545.33018" data-ciurl="/ci/07894521" data-biburl="/bibtex/07894521.bib" data-amsurl="/amsrefs/07894521.bib" data-xmlurl="/xml/07894521.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07894521.pdf" title="Zbl 1545.33018 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.46298/cm.10205" aria-label="DOI for “On the matrix function \(_{p}R_{q} (A, B; z)\) and its fractional calculus properties”" title="10.46298/cm.10205">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2210.12354"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7773417" value="7773417" aria-label="mark item Zbl 1541.33014"></div> <div class="author"><a href="/authors/pal.ankit" title="Author Profile">Pal, Ankit</a>; <a href="/authors/kumari.kiran" title="Author Profile">Kumari, Kiran</a></div> <h3 class="title"> <a href="/1541.33014"><strong>Euler-type integrals for the generalized hypergeometric matrix function.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1541.33014">Zbl 1541.33014</a> </h3> <div class="source"> <a href="/serials/2262" title="Journal Profile">J. Appl. Anal.</a> <a href="/?q=in%3A505575" title="Articles in this Issue">29, No. 2, 359-366 (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C70" title="Other hypergeometric functions and integrals in several variables">33C70</a> <a class="mono" href="/classification/?q=cc%3A33C05" title="Classical hypergeometric functions, \({}_2F_1\)">33C05</a> <a class="mono" href="/classification/?q=cc%3A33C20" title="Generalized hypergeometric series, \({}_pF_q\)">33C20</a> <a class="mono" href="/classification/?q=cc%3A33B15" title="Gamma, beta and polygamma functions">33B15</a> <a class="mono" href="/classification/?q=cc%3A33B20" title="Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)">33B20</a> <a class="mono" href="/classification/?q=cc%3A15A16" title="Matrix exponential and similar functions of matrices">15A16</a> <a class="mono" href="/classification/?q=cc%3A15A15" title="Determinants, permanents, traces, other special matrix functions">15A15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1541.33014" data-ciurl="/ci/07773417" data-biburl="/bibtex/07773417.bib" data-amsurl="/amsrefs/07773417.bib" data-xmlurl="/xml/07773417.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07773417.pdf" title="Zbl 1541.33014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/jaa-2023-0028" aria-label="DOI for “Euler-type integrals for the generalized hypergeometric matrix function”" title="10.1515/jaa-2023-0028">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2302.14322"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7685979" value="7685979" aria-label="mark item Zbl 1514.15013"></div> <div class="author"><a href="/authors/abdalla.mohamed" title="Author Profile">Abdalla, Mohamed</a>; <a href="/authors/abd-elmageed.hala" title="Author Profile">Abd-Elmageed, Hala</a>; <a href="/authors/abul-ez.mahmoud" title="Author Profile">Abul-Ez, Mahmoud</a>; <a href="/authors/zayed.mohra" title="Author Profile">Zayed, Mohra</a></div> <h3 class="title"> <a href="/1514.15013"><strong>Further investigations on the two variables second Appell hypergeometric matrix function.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1514.15013">Zbl 1514.15013</a> </h3> <div class="source"> <a href="/serials/646" title="Journal Profile">Quaest. Math.</a> <a href="/?q=in%3A496423" title="Articles in this Issue">46, No. 3, 519-536 (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A16" title="Matrix exponential and similar functions of matrices">15A16</a> <a class="mono" href="/classification/?q=cc%3A33C65" title="Appell, Horn and Lauricella functions">33C65</a> <a class="mono" href="/classification/?q=cc%3A34A05" title="Explicit solutions, first integrals of ordinary differential equations">34A05</a> <a class="mono" href="/classification/?q=cc%3A33D15" title="Basic hypergeometric functions in one variable, \({}_r\phi_s\)">33D15</a> <a class="mono" href="/classification/?q=cc%3A33C05" title="Classical hypergeometric functions, \({}_2F_1\)">33C05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1514.15013" data-ciurl="/ci/07685979" data-biburl="/bibtex/07685979.bib" data-amsurl="/amsrefs/07685979.bib" data-xmlurl="/xml/07685979.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07685979.pdf" title="Zbl 1514.15013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2989/16073606.2022.2034680" aria-label="DOI for “Further investigations on the two variables second Appell hypergeometric matrix function”" title="10.2989/16073606.2022.2034680">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7638902" value="7638902" aria-label="mark item Zbl 1510.15016"></div> <div class="author"><a href="/authors/bakhet.ahmed" title="Author Profile">Bakhet, Ahmed</a>; <a href="/authors/he.fuli" title="Author Profile">He, Fuli</a>; <a href="/authors/yu.mimi" title="Author Profile">Yu, Mimi</a></div> <h3 class="title"> <a href="/1510.15016"><strong>On the matrix version of extended Bessel functions and its application to matrix differential equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1510.15016">Zbl 1510.15016</a> </h3> <div class="source"> <a href="/serials/147" title="Journal Profile">Linear Multilinear Algebra</a> <a href="/?q=in%3A491479" title="Articles in this Issue">70, No. 20, 5661-5680 (2022)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9380">C. L. Parihar (Indore)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A16" title="Matrix exponential and similar functions of matrices">15A16</a> <a class="mono" href="/classification/?q=cc%3A33C05" title="Classical hypergeometric functions, \({}_2F_1\)">33C05</a> <a class="mono" href="/classification/?q=cc%3A33C10" title="Bessel and Airy functions, cylinder functions, \({}_0F_1\)">33C10</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A34A05" title="Explicit solutions, first integrals of ordinary differential equations">34A05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1510.15016" data-ciurl="/ci/07638902" data-biburl="/bibtex/07638902.bib" data-amsurl="/amsrefs/07638902.bib" data-xmlurl="/xml/07638902.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07638902.pdf" title="Zbl 1510.15016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/03081087.2021.1923629" aria-label="DOI for “On the matrix version of extended Bessel functions and its application to matrix differential equations”" title="10.1080/03081087.2021.1923629">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7629484" value="7629484" aria-label="mark item Zbl 1503.15005"></div> <div class="author"><a href="/authors/sanjhira.reshma-r" title="Author Profile">Sanjhira, Reshma R.</a>; <a href="/authors/dave.bhadreshkumar-indunarayan" title="Author Profile">Dave, B. I.</a></div> <h3 class="title"> <a href="/1503.15005"><strong>A general matrix series inversion pair and associated polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1503.15005">Zbl 1503.15005</a> </h3> <div class="source"> <a href="/serials/575" title="Journal Profile">Math. Slovaca</a> <a href="/?q=in%3A490603" title="Articles in this Issue">72, No. 6, 1471-1488 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A16" title="Matrix exponential and similar functions of matrices">15A16</a> <a class="mono" href="/classification/?q=cc%3A15A24" title="Matrix equations and identities">15A24</a> <a class="mono" href="/classification/?q=cc%3A05A19" title="Combinatorial identities, bijective combinatorics">05A19</a> <a class="mono" href="/classification/?q=cc%3A05B20" title="Combinatorial aspects of matrices (incidence, Hadamard, etc.)">05B20</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1503.15005" data-ciurl="/ci/07629484" data-biburl="/bibtex/07629484.bib" data-amsurl="/amsrefs/07629484.bib" data-xmlurl="/xml/07629484.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07629484.pdf" title="Zbl 1503.15005 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/ms-2022-0100" aria-label="DOI for “A general matrix series inversion pair and associated polynomials”" title="10.1515/ms-2022-0100">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7608555" value="7608555" aria-label="mark item Zbl 1524.33019"></div> <div class="author"><a href="/authors/awonusika.richard-olu" title="Author Profile">Awonusika, Richard Olu</a>; <a href="/authors/ariwayo.afolabi-gabriel" title="Author Profile">Ariwayo, Afolabi Gabriel</a></div> <h3 class="title"> <a href="/1524.33019"><strong>Descriptions of fractional coefficients of Jacobi polynomial expansions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1524.33019">Zbl 1524.33019</a> </h3> <div class="source"> <a href="/serials/1866" title="Journal Profile">J. Anal.</a> <a href="/?q=in%3A489379" title="Articles in this Issue">30, No. 4, 1567-1608 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C05" title="Classical hypergeometric functions, \({}_2F_1\)">33C05</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A34A08" title="Fractional ordinary differential equations">34A08</a> <a class="mono" href="/classification/?q=cc%3A35A08" title="Fundamental solutions to PDEs">35A08</a> <a class="mono" href="/classification/?q=cc%3A35C05" title="Solutions to PDEs in closed form">35C05</a> <a class="mono" href="/classification/?q=cc%3A35C10" title="Series solutions to PDEs">35C10</a> <a class="mono" href="/classification/?q=cc%3A35C15" title="Integral representations of solutions to PDEs">35C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1524.33019" data-ciurl="/ci/07608555" data-biburl="/bibtex/07608555.bib" data-amsurl="/amsrefs/07608555.bib" data-xmlurl="/xml/07608555.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07608555.pdf" title="Zbl 1524.33019 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s41478-022-00419-9" aria-label="DOI for “Descriptions of fractional coefficients of Jacobi polynomial expansions”" title="10.1007/s41478-022-00419-9">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7421721" value="7421721" aria-label="mark item Zbl 1478.15015"></div> <div class="author"><a href="/authors/verma.ashish" title="Author Profile">Verma, Ashish</a></div> <h3 class="title"> <a href="/1478.15015"><strong>On the incomplete Srivastava’s triple hypergeometric matrix functions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1478.15015">Zbl 1478.15015</a> </h3> <div class="source"> <a href="/serials/646" title="Journal Profile">Quaest. Math.</a> <a href="/?q=in%3A471916" title="Articles in this Issue">44, No. 7, 881-904 (2021)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A14702">Bujar Fejzullahu (Presevo)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A16" title="Matrix exponential and similar functions of matrices">15A16</a> <a class="mono" href="/classification/?q=cc%3A33C65" title="Appell, Horn and Lauricella functions">33C65</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A34A05" title="Explicit solutions, first integrals of ordinary differential equations">34A05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1478.15015" data-ciurl="/ci/07421721" data-biburl="/bibtex/07421721.bib" data-amsurl="/amsrefs/07421721.bib" data-xmlurl="/xml/07421721.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07421721.pdf" title="Zbl 1478.15015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2989/16073606.2020.1753123" aria-label="DOI for “On the incomplete Srivastava's triple hypergeometric matrix functions”" title="10.2989/16073606.2020.1753123">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2003.12064"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7383978" value="7383978" aria-label="mark item Zbl 1480.33005"></div> <div class="author"><a href="/authors/abdalla.mohamed" title="Author Profile">Abdalla, Mohamed</a>; <a href="/authors/hidan.muajebah" title="Author Profile">Hidan, Muajebah</a></div> <h3 class="title"> <a href="/1480.33005"><strong>Analytical properties of the two-variables Jacobi matrix polynomials with applications.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1480.33005">Zbl 1480.33005</a> </h3> <div class="source"> <a href="/serials/405" title="Journal Profile">Demonstr. Math.</a> <a href="/?q=in%3A462746" title="Articles in this Issue">54, 178-188 (2021)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C50" title="Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable">33C50</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A33D15" title="Basic hypergeometric functions in one variable, \({}_r\phi_s\)">33D15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1480.33005" data-ciurl="/ci/07383978" data-biburl="/bibtex/07383978.bib" data-amsurl="/amsrefs/07383978.bib" data-xmlurl="/xml/07383978.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07383978.pdf" title="Zbl 1480.33005 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/dema-2021-0021" aria-label="DOI for “Analytical properties of the two-variables Jacobi matrix polynomials with applications”" title="10.1515/dema-2021-0021">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7415807" value="7415807" aria-label="mark item Zbl 1488.33047"></div> <div class="author"><a href="/authors/shehata.ayman" title="Author Profile">Shehata, Ayman</a></div> <h3 class="title"> <a href="/1488.33047"><strong>Certain generating matrix functions of Legendre matrix polynomials using Lie algebraic method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1488.33047">Zbl 1488.33047</a> </h3> <div class="source"> <a href="/serials/2847" title="Journal Profile">Kragujevac J. Math.</a> <a href="/?q=in%3A471482" title="Articles in this Issue">44, No. 3, 353-368 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C80" title="Connections of hypergeometric functions with groups and algebras, and related topics">33C80</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1488.33047" data-ciurl="/ci/07415807" data-biburl="/bibtex/07415807.bib" data-amsurl="/amsrefs/07415807.bib" data-xmlurl="/xml/07415807.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07415807.pdf" title="Zbl 1488.33047 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="http://elib.mi.sanu.ac.rs/files/journals/kjm/61/2_eng.html" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7143584" value="7143584" aria-label="mark item Zbl 1427.15008"></div> <div class="author"><a href="/authors/abdalla.mohamed" title="Author Profile">Abdalla, Mohamed</a></div> <h3 class="title"> <a href="/1427.15008"><strong>Special matrix functions: characteristics, achievements and future directions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1427.15008">Zbl 1427.15008</a> </h3> <div class="source"> <a href="/serials/147" title="Journal Profile">Linear Multilinear Algebra</a> <a href="/?q=in%3A443333" title="Articles in this Issue">68, No. 1, 1-28 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A16" title="Matrix exponential and similar functions of matrices">15A16</a> <a class="mono" href="/classification/?q=cc%3A15A60" title="Norms of matrices, numerical range, applications of functional analysis to matrix theory">15A60</a> <a class="mono" href="/classification/?q=cc%3A33C05" title="Classical hypergeometric functions, \({}_2F_1\)">33C05</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A34A05" title="Explicit solutions, first integrals of ordinary differential equations">34A05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1427.15008" data-ciurl="/ci/07143584" data-biburl="/bibtex/07143584.bib" data-amsurl="/amsrefs/07143584.bib" data-xmlurl="/xml/07143584.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07143584.pdf" title="Zbl 1427.15008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/03081087.2018.1497585" aria-label="DOI for “Special matrix functions: characteristics, achievements and future directions”" title="10.1080/03081087.2018.1497585">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7124654" value="7124654" aria-label="mark item Zbl 1426.33036"></div> <div class="author"><a href="/authors/bin-saad.maged-gumaan" title="Author Profile">Bin-Saad, Maged G.</a>; <a href="/authors/?q=ai%3Apathan.mohammed-ahmed%7Cpathan.mahmood-ahmad" title="Author Profile">Pathan, M. A.</a></div> <h3 class="title"> <a href="/1426.33036"><strong>Operational identities for Hermite-pseudo Laguerre type matrix polynomials and their applications.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1426.33036">Zbl 1426.33036</a> </h3> <div class="source"> <a href="/serials/2325" title="Journal Profile">Honam Math. J.</a> <a href="/?q=in%3A432623" title="Articles in this Issue">41, No. 1, 35-49 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C50" title="Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable">33C50</a> <a class="mono" href="/classification/?q=cc%3A33C80" title="Connections of hypergeometric functions with groups and algebras, and related topics">33C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1426.33036" data-ciurl="/ci/07124654" data-biburl="/bibtex/07124654.bib" data-amsurl="/amsrefs/07124654.bib" data-xmlurl="/xml/07124654.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07124654.pdf" title="Zbl 1426.33036 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.5831/HMJ.2019.41.1.35" aria-label="DOI for “Operational identities for Hermite-pseudo Laguerre type matrix polynomials and their applications”" title="10.5831/HMJ.2019.41.1.35">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7124390" value="7124390" aria-label="mark item Zbl 1432.15005"></div> <div class="author"><a href="/authors/srivastava.hari-mohan" title="Author Profile">Srivastava, H. M.</a>; <a href="/authors/khan.waseem-ahmad" title="Author Profile">Khan, Waseem A.</a>; <a href="/authors/haroon.hiba" title="Author Profile">Haroon, Hiba</a></div> <h3 class="title"> <a href="/1432.15005"><strong>Some expansions for a class of generalized Humbert matrix polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1432.15005">Zbl 1432.15005</a> </h3> <div class="source"> <a href="/serials/7009" title="Journal Profile">Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM</a> <a href="/?q=in%3A441843" title="Articles in this Issue">113, No. 4, 3619-3634 (2019)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10796">Chrysoula G. Kokologiannaki (Patras)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A16" title="Matrix exponential and similar functions of matrices">15A16</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A33E20" title="Other functions defined by series and integrals">33E20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1432.15005" data-ciurl="/ci/07124390" data-biburl="/bibtex/07124390.bib" data-amsurl="/amsrefs/07124390.bib" data-xmlurl="/xml/07124390.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07124390.pdf" title="Zbl 1432.15005 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s13398-019-00720-6" aria-label="DOI for “Some expansions for a class of generalized Humbert matrix polynomials”" title="10.1007/s13398-019-00720-6">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6994527" value="6994527" aria-label="mark item Zbl 1405.15009"></div> <div class="author"><a href="/authors/bakhet.ahmed" title="Author Profile">Bakhet, Ahmed</a>; <a href="/authors/jiao.yong" title="Author Profile">Jiao, Yong</a>; <a href="/authors/he.fuli" title="Author Profile">He, Fuli</a></div> <h3 class="title"> <a href="/1405.15009"><strong>On the Wright hypergeometric matrix functions and their fractional calculus.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1405.15009">Zbl 1405.15009</a> </h3> <div class="source"> <a href="/serials/2111" title="Journal Profile">Integral Transforms Spec. Funct.</a> <a href="/?q=in%3A424832" title="Articles in this Issue">30, No. 2, 138-156 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A15" title="Determinants, permanents, traces, other special matrix functions">15A15</a> <a class="mono" href="/classification/?q=cc%3A33C05" title="Classical hypergeometric functions, \({}_2F_1\)">33C05</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A34A05" title="Explicit solutions, first integrals of ordinary differential equations">34A05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1405.15009" data-ciurl="/ci/06994527" data-biburl="/bibtex/06994527.bib" data-amsurl="/amsrefs/06994527.bib" data-xmlurl="/xml/06994527.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06994527.pdf" title="Zbl 1405.15009 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/10652469.2018.1543669" aria-label="DOI for “On the Wright hypergeometric matrix functions and their fractional calculus”" title="10.1080/10652469.2018.1543669">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7029294" value="7029294" aria-label="mark item Zbl 1470.33006"></div> <div class="author"><a href="/authors/wehowar.georg" title="Author Profile">Wehowar, Georg</a>; <a href="/authors/hausenblas.erika" title="Author Profile">Hausenblas, Erika</a></div> <h3 class="title"> <a href="/1470.33006"><strong>The second Kummer function with matrix parameters and its asymptotic behaviour.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1470.33006">Zbl 1470.33006</a> </h3> <div class="source"> <a href="/serials/2324" title="Journal Profile">Abstr. Appl. Anal.</a> <a href="/?q=in%3A413558" title="Articles in this Issue">2018, Article ID 7534651, 8 p. (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C15" title="Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\)">33C15</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1470.33006" data-ciurl="/ci/07029294" data-biburl="/bibtex/07029294.bib" data-amsurl="/amsrefs/07029294.bib" data-xmlurl="/xml/07029294.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07029294.pdf" title="Zbl 1470.33006 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1155/2018/7534651" aria-label="DOI for “The second Kummer function with matrix parameters and its asymptotic behaviour”" title="10.1155/2018/7534651">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6954061" value="6954061" aria-label="mark item Zbl 1400.33015"></div> <div class="author"><a href="/authors/bin-saad.maged-gumaan" title="Author Profile">Bin-Saad, Maged G.</a>; <a href="/authors/mohsen.fadhle-b-f" title="Author Profile">Mohsen, Fadhle B. F.</a></div> <h3 class="title"> <a href="/1400.33015"><strong>Quasi-monomiality and operational identities for Laguerre-Konhauser-type matrix polynomials and their applications.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1400.33015">Zbl 1400.33015</a> </h3> <div class="source"> <a href="/serials/2630" title="Journal Profile">Acta Comment. Univ. Tartu. Math.</a> <a href="/?q=in%3A405730" title="Articles in this Issue">22, No. 1, 13-22 (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A15A60" title="Norms of matrices, numerical range, applications of functional analysis to matrix theory">15A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1400.33015" data-ciurl="/ci/06954061" data-biburl="/bibtex/06954061.bib" data-amsurl="/amsrefs/06954061.bib" data-xmlurl="/xml/06954061.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06954061.pdf" title="Zbl 1400.33015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.12697/ACUTM.2018.22.02" aria-label="DOI for “Quasi-monomiality and operational identities for Laguerre-Konhauser-type matrix polynomials and their applications”" title="10.12697/ACUTM.2018.22.02">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6947994" value="6947994" aria-label="mark item Zbl 1397.33002"></div> <div class="author"><a href="/authors/abdalla.mohamed" title="Author Profile">Abdalla, Mohamed</a>; <a href="/authors/bakhet.ahmed" title="Author Profile">Bakhet, A.</a></div> <h3 class="title"> <a href="/1397.33002"><strong>Extended Gauss hypergeometric matrix functions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1397.33002">Zbl 1397.33002</a> </h3> <div class="source"> <a href="/serials/2886" title="Journal Profile">Iran. J. Sci. Technol., Trans. A, Sci.</a> <a href="/?q=in%3A413494" title="Articles in this Issue">42, No. 3, 1465-1470 (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33B15" title="Gamma, beta and polygamma functions">33B15</a> <a class="mono" href="/classification/?q=cc%3A33C20" title="Generalized hypergeometric series, \({}_pF_q\)">33C20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1397.33002" data-ciurl="/ci/06947994" data-biburl="/bibtex/06947994.bib" data-amsurl="/amsrefs/06947994.bib" data-xmlurl="/xml/06947994.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06947994.pdf" title="Zbl 1397.33002 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s40995-017-0183-3" aria-label="DOI for “Extended Gauss hypergeometric matrix functions”" title="10.1007/s40995-017-0183-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6802943" value="6802943" aria-label="mark item Zbl 1375.33008"></div> <div class="author"><a href="/authors/?q=ai%3Aabdalla.manal-z-m%7Cabdalla.mostafa-h%7Cabdalla.mohamed%7Cabdalla.maria-cristina-b%7Cabdalla.mostafa-m%7Cabdalla.michel%7Cabdalla.m-sebaweh%7Cabdalla.musa-o%7Cabdalla.michael-d%7Cabdalla.mohsen" title="Author Profile">Abdalla, M.</a></div> <h3 class="title"> <a href="/1375.33008"><strong>On the incomplete hypergeometric matrix functions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1375.33008">Zbl 1375.33008</a> </h3> <div class="source"> <a href="/serials/2290" title="Journal Profile">Ramanujan J.</a> <a href="/?q=in%3A368577" title="Articles in this Issue">43, No. 3, 663-678 (2017)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C05" title="Classical hypergeometric functions, \({}_2F_1\)">33C05</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A34A05" title="Explicit solutions, first integrals of ordinary differential equations">34A05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1375.33008" data-ciurl="/ci/06802943" data-biburl="/bibtex/06802943.bib" data-amsurl="/amsrefs/06802943.bib" data-xmlurl="/xml/06802943.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06802943.pdf" title="Zbl 1375.33008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11139-016-9795-z" aria-label="DOI for “On the incomplete hypergeometric matrix functions”" title="10.1007/s11139-016-9795-z">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6428775" value="6428775" aria-label="mark item Zbl 1314.33007"></div> <div class="author"><a href="/authors/abul-dahab.mohamed" title="Author Profile">Abul-Dahab, M.</a>; <a href="/authors/abul-ez.m-a" title="Author Profile">Abul-Ez, M.</a>; <a href="/authors/kishka.z-m-g" title="Author Profile">Kishka, Z.</a>; <a href="/authors/constales.denis" title="Author Profile">Constales, D.</a></div> <h3 class="title"> <a href="/1314.33007"><strong>Reverse generalized Bessel matrix differential equation, polynomial solutions, and their properties.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1314.33007">Zbl 1314.33007</a> </h3> <div class="source"> <a href="/serials/154" title="Journal Profile">Math. Methods Appl. Sci.</a> <a href="/?q=in%3A342857" title="Articles in this Issue">38, No. 6, 1005-1013 (2015)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A34A30" title="Linear ordinary differential equations and systems">34A30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1314.33007" data-ciurl="/ci/06428775" data-biburl="/bibtex/06428775.bib" data-amsurl="/amsrefs/06428775.bib" data-xmlurl="/xml/06428775.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06428775.pdf" title="Zbl 1314.33007 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/mma.3020" aria-label="DOI for “Reverse generalized Bessel matrix differential equation, polynomial solutions, and their properties”" title="10.1002/mma.3020">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/3.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6418341" value="6418341" aria-label="mark item Zbl 1311.33008"></div> <div class="author"><a href="/authors/upadhyaya.lalit-mohan" title="Author Profile">Upadhyaya, Lalit Mohan</a>; <a href="/authors/shehata.ayman" title="Author Profile">Shehata, Ayman</a></div> <h3 class="title"> <a href="/1311.33008"><strong>A new extension of generalized Hermite matrix polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1311.33008">Zbl 1311.33008</a> </h3> <div class="source"> <a href="/serials/2906" title="Journal Profile">Bull. Malays. Math. Sci. Soc. (2)</a> <a href="/?q=in%3A342050" title="Articles in this Issue">38, No. 1, 165-179 (2015)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A33E20" title="Other functions defined by series and integrals">33E20</a> <a class="mono" href="/classification/?q=cc%3A15A60" title="Norms of matrices, numerical range, applications of functional analysis to matrix theory">15A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1311.33008" data-ciurl="/ci/06418341" data-biburl="/bibtex/06418341.bib" data-amsurl="/amsrefs/06418341.bib" data-xmlurl="/xml/06418341.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06418341.pdf" title="Zbl 1311.33008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s40840-014-0010-3" aria-label="DOI for “A new extension of generalized Hermite matrix polynomials”" title="10.1007/s40840-014-0010-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6369945" value="6369945" aria-label="mark item Zbl 1321.15041"></div> <div class="author"><a href="/authors/shehata.ayman" title="Author Profile">Shehata, A.</a></div> <h3 class="title"> <a href="/1321.15041"><strong>On Rice’s matrix polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1321.15041">Zbl 1321.15041</a> </h3> <div class="source"> <a href="/serials/7295" title="Journal Profile">Afr. Mat.</a> <a href="/?q=in%3A336098" title="Articles in this Issue">25, No. 3, 757-777 (2014)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1392">Rabe von Randow (Bonn)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A60" title="Norms of matrices, numerical range, applications of functional analysis to matrix theory">15A60</a> <a class="mono" href="/classification/?q=cc%3A33C05" title="Classical hypergeometric functions, \({}_2F_1\)">33C05</a> <a class="mono" href="/classification/?q=cc%3A33C20" title="Generalized hypergeometric series, \({}_pF_q\)">33C20</a> <a class="mono" href="/classification/?q=cc%3A33C60" title="Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions)">33C60</a> <a class="mono" href="/classification/?q=cc%3A33C70" title="Other hypergeometric functions and integrals in several variables">33C70</a> <a class="mono" href="/classification/?q=cc%3A34A05" title="Explicit solutions, first integrals of ordinary differential equations">34A05</a> <a class="mono" href="/classification/?q=cc%3A15A16" title="Matrix exponential and similar functions of matrices">15A16</a> <a class="mono" href="/classification/?q=cc%3A34A30" title="Linear ordinary differential equations and systems">34A30</a> <a class="mono" href="/classification/?q=cc%3A47E05" title="General theory of ordinary differential operators">47E05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1321.15041" data-ciurl="/ci/06369945" data-biburl="/bibtex/06369945.bib" data-amsurl="/amsrefs/06369945.bib" data-xmlurl="/xml/06369945.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06369945.pdf" title="Zbl 1321.15041 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s13370-013-0149-3" aria-label="DOI for “On Rice's matrix polynomials”" title="10.1007/s13370-013-0149-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7032160" value="7032160" aria-label="mark item Zbl 1412.33016"></div> <div class="author"><a href="/authors/cekim.bayram" title="Author Profile">Çekım, Bayram</a>; <a href="/authors/altin.abdullah" title="Author Profile">Altin, Abdullah</a></div> <h3 class="title"> <a href="/1412.33016"><strong>New matrix formulas for Laguerre matrix polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1412.33016">Zbl 1412.33016</a> </h3> <div class="source"> <a href="/serials/7908" title="Journal Profile">J. Class. Anal.</a> <a href="/?q=in%3A429191" title="Articles in this Issue">3, No. 1, 59-67 (2013)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A15A60" title="Norms of matrices, numerical range, applications of functional analysis to matrix theory">15A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1412.33016" data-ciurl="/ci/07032160" data-biburl="/bibtex/07032160.bib" data-amsurl="/amsrefs/07032160.bib" data-xmlurl="/xml/07032160.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07032160.pdf" title="Zbl 1412.33016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.7153/jca-03-05" aria-label="DOI for “New matrix formulas for Laguerre matrix polynomials”" title="10.7153/jca-03-05">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6420922" value="6420922" aria-label="mark item Zbl 1310.33003"></div> <div class="author"><a href="/authors/defez.emilio" title="Author Profile">Defez, Emilio</a></div> <h3 class="title"> <a href="/1310.33003"><strong>A Rodrigues-type formula for Gegenbauer matrix polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1310.33003">Zbl 1310.33003</a> </h3> <div class="source"> <a href="/serials/1204" title="Journal Profile">Appl. Math. Lett.</a> <a href="/?q=in%3A342773" title="Articles in this Issue">26, No. 8, 899-903 (2013)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A15A54" title="Matrices over function rings in one or more variables">15A54</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1310.33003" data-ciurl="/ci/06420922" data-biburl="/bibtex/06420922.bib" data-amsurl="/amsrefs/06420922.bib" data-xmlurl="/xml/06420922.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06420922.pdf" title="Zbl 1310.33003 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aml.2013.04.001" aria-label="DOI for “A Rodrigues-type formula for Gegenbauer matrix polynomials”" title="10.1016/j.aml.2013.04.001">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6026744" value="6026744" aria-label="mark item Zbl 1236.15048"></div> <div class="author"><a href="/authors/varma.serhan" title="Author Profile">Varma, Serhan</a>; <a href="/authors/tasdelen.fatma" title="Author Profile">Taşdelen, Fatma</a></div> <h3 class="title"> <a href="/1236.15048"><strong>Biorthogonal matrix polynomials related to Jacobi matrix polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1236.15048">Zbl 1236.15048</a> </h3> <div class="source"> <a href="/serials/62" title="Journal Profile">Comput. Math. Appl.</a> <a href="/?q=in%3A289606" title="Articles in this Issue">62, No. 10, 3663-3668 (2011)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A54" title="Matrices over function rings in one or more variables">15A54</a> <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1236.15048" data-ciurl="/ci/06026744" data-biburl="/bibtex/06026744.bib" data-amsurl="/amsrefs/06026744.bib" data-xmlurl="/xml/06026744.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06026744.pdf" title="Zbl 1236.15048 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.camwa.2011.08.063" aria-label="DOI for “Biorthogonal matrix polynomials related to Jacobi matrix polynomials”" title="10.1016/j.camwa.2011.08.063">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5948320" value="5948320" aria-label="mark item Zbl 1221.33022"></div> <div class="author"><a href="/authors/tasdelen.fatma" title="Author Profile">Taşdelen, Fatma</a>; <a href="/authors/cekim.bayram" title="Author Profile">Çekim, Bayram</a>; <a href="/authors/aktas.rabia" title="Author Profile">Aktaş, Rabia</a></div> <h3 class="title"> <a href="/1221.33022"><strong>On a multivariable extension of Jacobi matrix polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1221.33022">Zbl 1221.33022</a> </h3> <div class="source"> <a href="/serials/62" title="Journal Profile">Comput. Math. Appl.</a> <a href="/?q=in%3A279953" title="Articles in this Issue">61, No. 9, 2412-2423 (2011)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A15B57" title="Hermitian, skew-Hermitian, and related matrices">15B57</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1221.33022" data-ciurl="/ci/05948320" data-biburl="/bibtex/05948320.bib" data-amsurl="/amsrefs/05948320.bib" data-xmlurl="/xml/05948320.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05948320.pdf" title="Zbl 1221.33022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.camwa.2011.02.019" aria-label="DOI for “On a multivariable extension of Jacobi matrix polynomials”" title="10.1016/j.camwa.2011.02.019">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5655047" value="5655047" aria-label="mark item Zbl 1202.33014"></div> <div class="author"><a href="/authors/costin.rodica-d" title="Author Profile">Costin, Rodica D.</a></div> <h3 class="title"> <a href="/1202.33014"><strong>A class of matrix-valued polynomials generalizing Jacobi polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1202.33014">Zbl 1202.33014</a> </h3> <div class="source"> <a href="/serials/476" title="Journal Profile">J. Approx. Theory</a> <a href="/?q=in%3A256620" title="Articles in this Issue">161, No. 2, 787-801 (2009)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A5692">Wolfram Koepf (Kassel)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1202.33014" data-ciurl="/ci/05655047" data-biburl="/bibtex/05655047.bib" data-amsurl="/amsrefs/05655047.bib" data-xmlurl="/xml/05655047.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05655047.pdf" title="Zbl 1202.33014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jat.2009.01.005" aria-label="DOI for “A class of matrix-valued polynomials generalizing Jacobi polynomials”" title="10.1016/j.jat.2009.01.005">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0804.3739"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 class="filters-caption">Filter Results by …</h2> <div class="filter filter-st"> <h3 class="filter-caption">Access</h3> <ul><li> <a href="/?q=rf%3A2153492+st%3Ao" title="Open Access Documents">Open Access</a> (10) </li></ul> </div> <div class="filter filter-ai"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Author</h3> <ul><li> <a href="/?q=rf%3A2153492+ai%3Aabdalla.mohamed">Abdalla, Mohamed</a> (4) </li><li> <a href="/?q=rf%3A2153492+ai%3Abakhet.ahmed">Bakhet, Ahmed</a> (3) </li><li> <a href="/?q=rf%3A2153492+ai%3Ashehata.ayman">Shehata, Ayman</a> (3) </li><li> <a href="/?q=rf%3A2153492+ai%3Abin-saad.maged-gumaan">Bin-Saad, Maged Gumaan</a> (2) </li><li> <a href="/?q=rf%3A2153492+ai%3Acekim.bayram">Çekım, Bayram</a> (2) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Ahe.fuli">He, Fuli</a> (2) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Asanjhira.reshma-r">Sanjhira, Reshma R.</a> (2) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Atasdelen.fatma">Taşdelen, Fatma</a> (2) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Averma.ashish">Verma, Ashish</a> (2) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aabd-elmageed.hala">Abd-Elmageed, Hala</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aabul-dahab.mohamed">Abul-Dahab, Mohamed</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aabul-ez.m-a">Abul-ez, M. A.</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aabul-ez.mahmoud">Abul-Ez, Mahmoud</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aaktas.rabia">Aktaş, Rabia</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aaltin.abdullah">Altin, Abdullah</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aariwayo.afolabi-gabriel">Ariwayo, Afolabi Gabriel</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aawonusika.richard-olu">Awonusika, Richard Olu</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aconstales.denis">Constales, Denis</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Acostin.rodica-d">Costin, Rodica D.</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Adave.bhadreshkumar-indunarayan">Dave, Bhadreshkumar Indunarayan</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Adefez.emilio">Defez, Emilio</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Adwivedi.ravi">Dwivedi, Ravi</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aharoon.hiba">Haroon, Hiba</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Ahausenblas.erika">Hausenblas, Erika</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Ahidan.muajebah">Hidan, Muajebah</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Ajiao.yong">Jiao, Yong</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Akhan.waseem-ahmad">Khan, Waseem Ahmad</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Akishka.z-m-g">Kishka, Z. M. G.</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Akumari.kiran">Kumari, Kiran</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Amohsen.fadhle-b-f">Mohsen, Fadhle B. F.</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Apal.ankit">Pal, Ankit</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Apatel.raj-karan">Patel, Raj Karan</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Asrivastava.hari-mohan">Srivastava, Hari Mohan</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Aupadhyaya.lalit-mohan">Upadhyaya, Lalit Mohan</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Avarma.serhan">Varma, Serhan</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Awehowar.georg">Wehowar, Georg</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Ayadav.komal-singh">Yadav, Komal Singh</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Ayu.mimi">Yu, Mimi</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+ai%3Azayed.mohra">Zayed, Mohra</a> (1) </li></ul> </div> <div class="filter filter-se"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Serial</h3> <ul> <li> <a href="/?q=rf%3A2153492+se%3A62" title="Computers & Mathematics with Applications">Comput. Math. Appl. </a> (2)</li><li> <a href="/?q=rf%3A2153492+se%3A147" title="Linear and Multilinear Algebra">Linear Multilinear Algebra </a> (2)</li><li> <a href="/?q=rf%3A2153492+se%3A646" title="Quaestiones Mathematicae">Quaest. Math. </a> (2)</li><li> <a href="/?q=rf%3A2153492+se%3A154" title="Mathematical Methods in the Applied Sciences">Math. Methods Appl. Sci. </a> (1)</li><li> <a href="/?q=rf%3A2153492+se%3A405" title="Demonstratio Mathematica">Demonstr. Math. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A476" title="Journal of Approximation Theory">J. Approx. Theory </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A575" title="Mathematica Slovaca">Math. Slovaca </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A1204" title="Applied Mathematics Letters">Appl. Math. Lett. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A1866" title="The Journal of Analysis">J. Anal. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A2111" title="Integral Transforms and Special Functions">Integral Transforms Spec. Funct. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A2262" title="Journal of Applied Analysis">J. Appl. Anal. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A2290" title="The Ramanujan Journal">Ramanujan J. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A2324" title="Abstract and Applied Analysis">Abstr. Appl. Anal. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A2325" title="Honam Mathematical Journal">Honam Math. J. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A2630" title="Acta et Commentationes Universitatis Tartuensis de Mathematica">Acta Comment. Univ. Tartu. Math. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A2847" title="Kragujevac Journal of Mathematics">Kragujevac J. Math. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A2886" title="Iranian Journal of Science and Technology. Transaction A: Science">Iran. J. Sci. Technol., Trans. A, Sci. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A2906" title="Bulletin of the Malaysian Mathematical Sciences Society. Second Series">Bull. Malays. Math. Sci. Soc. (2) </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A3647" title="Proyecciones">Proyecciones </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A7009" title="Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM">Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A7295" title="Afrika Matematika">Afr. Mat. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A7473" title="Communications in Mathematics">Commun. Math. </a> (1)</li><li class="more"> <a href="/?q=rf%3A2153492+se%3A7908" title="Journal of Classical Analysis">J. Class. Anal. </a> (1)</li></ul> </div> <div class="filter filter-py"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Year of Publication</h3> <ul><li> <a href="/?q=rf%3A2153492+py%3A2024">2024</a> (1) </li><li> <a href="/?q=rf%3A2153492+py%3A2023">2023</a> (3) </li><li> <a href="/?q=rf%3A2153492+py%3A2022">2022</a> (3) </li><li> <a href="/?q=rf%3A2153492+py%3A2021">2021</a> (2) </li><li> <a href="/?q=rf%3A2153492+py%3A2020">2020</a> (2) </li><li class="more"> <a href="/?q=rf%3A2153492+py%3A2019">2019</a> (3) </li><li class="more"> <a href="/?q=rf%3A2153492+py%3A2018">2018</a> (3) </li><li class="more"> <a href="/?q=rf%3A2153492+py%3A2017">2017</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+py%3A2015">2015</a> (2) </li><li class="more"> <a href="/?q=rf%3A2153492+py%3A2014">2014</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+py%3A2013">2013</a> (2) </li><li class="more"> <a href="/?q=rf%3A2153492+py%3A2011">2011</a> (2) </li><li class="more"> <a href="/?q=rf%3A2153492+py%3A2009">2009</a> (1) </li> </ul> </div> <div class="filter filter-cc"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 3 <i class="caret"></i></a><h3 class="filter-caption">Main Field</h3> <ul><li> <a class="" href="/?q=rf%3A2153492+cc%3A33" title="Special functions">33-XX </a> (26) </li><li> <a class="" href="/?q=rf%3A2153492+cc%3A15" title="Linear and multilinear algebra; matrix theory">15-XX </a> (17) </li><li> <a class="" href="/?q=rf%3A2153492+cc%3A34" title="Ordinary differential equations">34-XX </a> (9) </li><li class="more"> <a class="" href="/?q=rf%3A2153492+cc%3A05" title="Combinatorics">05-XX </a> (1) </li><li class="more"> <a class="" href="/?q=rf%3A2153492+cc%3A26" title="Real functions">26-XX </a> (1) </li><li class="more"> <a class="" href="/?q=rf%3A2153492+cc%3A35" title="Partial differential equations">35-XX </a> (1) </li><li class="more"> <a class="" href="/?q=rf%3A2153492+cc%3A47" title="Operator theory">47-XX </a> (1) </li></ul> </div> <div class="filter filter-sw"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 3 <i class="caret"></i></a><h3 class="filter-caption">Software</h3> <ul><li> <a href="/?q=rf%3A2153492+sw%3Amftoolbox">mftoolbox</a> (3) </li><li> <a href="/?q=rf%3A2153492+sw%3AFractional+Heat+Conduction+Toolbox">Fractional Heat Conduction Toolbox</a> (1) </li><li> <a href="/?q=rf%3A2153492+sw%3AHYPERDIRE">HYPERDIRE</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+sw%3AHeat+Conduction+Toolbox">Heat Conduction Toolbox</a> (1) </li><li class="more"> <a href="/?q=rf%3A2153492+sw%3AOPQ">OPQ</a> (1) </li></ul> </div> </section> <div class="content-clear"></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>