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href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sl.wikipedia.org&uselang=sl" class=""><span>Denarni prispevki</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Registracija&returnto=Holomorfna+funkcija" title="Predlagamo vam, da si ustvarite račun in se prijavite, vendar to ni obvezno." class=""><span>Ustvari račun</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Prijava&returnto=Holomorfna+funkcija" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o" class=""><span>Prijava</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Več 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class="vector-menu-heading"> Strani za neprijavljene urejevalce <a href="/wiki/Pomo%C4%8D:Uvod" aria-label="Več o urejanju"><span>več o tem</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Posebno:MojiPrispevki" title="Seznam urejanj s tega IP-naslova [y]" accesskey="y"><span>Prispevki</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Posebno:MojPogovor" title="Pogovor o urejanjih s tega IP-naslova [n]" accesskey="n"><span>Pogovorna stran</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Projekt"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Vsebina" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Vsebina</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skrij</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Uvod</div> </a> </li> <li id="toc-Glej_tudi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Glej_tudi"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Glej tudi</span> </div> </a> <ul id="toc-Glej_tudi-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Vsebina" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Vklopi kazalo vsebine" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Vklopi kazalo vsebine</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Holomorfna funkcija</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="P9jdi na članek v drugem jeziku. Na voljo v 46 jezikih." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-46" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">46 jezikov</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D8%A7%D9%84%D8%A9_%D8%AA%D8%A7%D9%85%D8%A9_%D8%A7%D9%84%D8%AA%D8%B4%D9%83%D9%84" title="دالة تامة التشكل – arabščina" lang="ar" hreflang="ar" data-title="دالة تامة التشكل" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Funci%C3%B3n_holomorfa" title="Función holomorfa – asturijščina" lang="ast" hreflang="ast" data-title="Función holomorfa" data-language-autonym="Asturianu" data-language-local-name="asturijščina" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%93%D0%BE%D0%BB%D0%BE%D0%BC%D0%BE%D1%80%D1%84%D0%BB%D1%8B_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F" title="Голоморфлы функция – baškirščina" lang="ba" hreflang="ba" data-title="Голоморфлы функция" data-language-autonym="Башҡортса" data-language-local-name="baškirščina" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A5%D0%BE%D0%BB%D0%BE%D0%BC%D0%BE%D1%80%D1%84%D0%BD%D0%B0_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F" title="Холоморфна функция – bolgarščina" lang="bg" hreflang="bg" data-title="Холоморфна функция" data-language-autonym="Български" data-language-local-name="bolgarščina" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Funci%C3%B3_holomorfa" title="Funció holomorfa – katalonščina" lang="ca" hreflang="ca" data-title="Funció holomorfa" data-language-autonym="Català" data-language-local-name="katalonščina" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/Holomorfo_funcion" title="Holomorfo funcion – Chavacano" lang="cbk" hreflang="cbk" data-title="Holomorfo funcion" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target"><span>Chavacano de Zamboanga</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Holomorfn%C3%AD_funkce" title="Holomorfní funkce – češčina" lang="cs" hreflang="cs" data-title="Holomorfní funkce" data-language-autonym="Čeština" data-language-local-name="češčina" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de badge-Q17437796 badge-featuredarticle mw-list-item" title="izbrani članek"><a href="https://de.wikipedia.org/wiki/Holomorphe_Funktion" title="Holomorphe Funktion – nemščina" lang="de" hreflang="de" data-title="Holomorphe Funktion" data-language-autonym="Deutsch" data-language-local-name="nemščina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9F%CE%BB%CF%8C%CE%BC%CE%BF%CF%81%CF%86%CE%B7_%CF%83%CF%85%CE%BD%CE%AC%CF%81%CF%84%CE%B7%CF%83%CE%B7" title="Ολόμορφη συνάρτηση – grščina" lang="el" hreflang="el" data-title="Ολόμορφη συνάρτηση" data-language-autonym="Ελληνικά" data-language-local-name="grščina" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Holomorphic_function" title="Holomorphic function – angleščina" lang="en" hreflang="en" data-title="Holomorphic function" data-language-autonym="English" data-language-local-name="angleščina" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Holomorfa_funkcio" title="Holomorfa funkcio – esperanto" lang="eo" hreflang="eo" data-title="Holomorfa funkcio" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Funci%C3%B3n_holomorfa" title="Función holomorfa – španščina" lang="es" hreflang="es" data-title="Función holomorfa" data-language-autonym="Español" data-language-local-name="španščina" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Regulaarne_funktsioon" title="Regulaarne funktsioon – estonščina" lang="et" hreflang="et" data-title="Regulaarne funktsioon" data-language-autonym="Eesti" data-language-local-name="estonščina" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Funtzio_holomorfiko" title="Funtzio holomorfiko – baskovščina" lang="eu" hreflang="eu" data-title="Funtzio holomorfiko" data-language-autonym="Euskara" data-language-local-name="baskovščina" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AA%D8%A7%D8%A8%D8%B9_%D9%87%D9%88%D9%84%D9%88%D9%85%D9%88%D8%B1%D9%81%DB%8C%DA%A9" title="تابع هولومورفیک – perzijščina" lang="fa" hreflang="fa" data-title="تابع هولومورفیک" data-language-autonym="فارسی" data-language-local-name="perzijščina" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Holomorfinen_funktio" title="Holomorfinen funktio – finščina" lang="fi" hreflang="fi" data-title="Holomorfinen funktio" data-language-autonym="Suomi" data-language-local-name="finščina" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Fonction_holomorphe" title="Fonction holomorphe – francoščina" lang="fr" hreflang="fr" data-title="Fonction holomorphe" data-language-autonym="Français" data-language-local-name="francoščina" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Funci%C3%B3n_holomorfa" title="Función holomorfa – galicijščina" lang="gl" hreflang="gl" data-title="Función holomorfa" data-language-autonym="Galego" data-language-local-name="galicijščina" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%95%D7%A0%D7%A7%D7%A6%D7%99%D7%94_%D7%94%D7%95%D7%9C%D7%95%D7%9E%D7%95%D7%A8%D7%A4%D7%99%D7%AA" title="פונקציה הולומורפית – hebrejščina" lang="he" hreflang="he" data-title="פונקציה הולומורפית" data-language-autonym="עברית" data-language-local-name="hebrejščina" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B9%E0%A5%8B%E0%A4%B2%E0%A5%8B%E0%A4%AE%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%AB%E0%A4%BF%E0%A4%95_%E0%A4%AB%E0%A4%B2%E0%A4%A8" title="होलोमार्फिक फलन – hindijščina" lang="hi" hreflang="hi" data-title="होलोमार्फिक फलन" data-language-autonym="हिन्दी" data-language-local-name="hindijščina" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Holomorf_f%C3%BCggv%C3%A9nyek" title="Holomorf függvények – madžarščina" lang="hu" hreflang="hu" data-title="Holomorf függvények" data-language-autonym="Magyar" data-language-local-name="madžarščina" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Funzione_olomorfa" title="Funzione olomorfa – italijanščina" lang="it" hreflang="it" data-title="Funzione olomorfa" data-language-autonym="Italiano" data-language-local-name="italijanščina" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%AD%A3%E5%89%87%E9%96%A2%E6%95%B0" title="正則関数 – japonščina" lang="ja" hreflang="ja" data-title="正則関数" data-language-autonym="日本語" data-language-local-name="japonščina" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%B0%E1%83%9D%E1%83%9A%E1%83%9D%E1%83%9B%E1%83%9D%E1%83%A0%E1%83%A4%E1%83%A3%E1%83%9A%E1%83%98_%E1%83%A4%E1%83%A3%E1%83%9C%E1%83%A5%E1%83%AA%E1%83%98%E1%83%90" title="ჰოლომორფული ფუნქცია – gruzijščina" lang="ka" hreflang="ka" data-title="ჰოლომორფული ფუნქცია" data-language-autonym="ქართული" data-language-local-name="gruzijščina" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A0%95%EC%B9%99_%ED%95%A8%EC%88%98" title="정칙 함수 – korejščina" lang="ko" hreflang="ko" data-title="정칙 함수" data-language-autonym="한국어" data-language-local-name="korejščina" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lmo badge-Q17437796 badge-featuredarticle mw-list-item" title="izbrani članek"><a href="https://lmo.wikipedia.org/wiki/Funzi%C3%BA_ulumorfa" title="Funziú ulumorfa – Lombard" lang="lmo" hreflang="lmo" data-title="Funziú ulumorfa" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Holomorfin%C4%97_funkcija" title="Holomorfinė funkcija – litovščina" lang="lt" hreflang="lt" data-title="Holomorfinė funkcija" data-language-autonym="Lietuvių" data-language-local-name="litovščina" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Holomorfe_functie" title="Holomorfe functie – nizozemščina" lang="nl" hreflang="nl" data-title="Holomorfe functie" data-language-autonym="Nederlands" data-language-local-name="nizozemščina" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Holomorf_funksjon" title="Holomorf funksjon – novonorveščina" lang="nn" hreflang="nn" data-title="Holomorf funksjon" data-language-autonym="Norsk nynorsk" data-language-local-name="novonorveščina" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Foncion_olom%C3%B2rfa" title="Foncion olomòrfa – okcitanščina" lang="oc" hreflang="oc" data-title="Foncion olomòrfa" data-language-autonym="Occitan" data-language-local-name="okcitanščina" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Funkcja_holomorficzna" title="Funkcja holomorficzna – poljščina" lang="pl" hreflang="pl" data-title="Funkcja holomorficzna" data-language-autonym="Polski" data-language-local-name="poljščina" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Fun%C3%A7%C3%A3o_holomorfa" title="Função holomorfa – portugalščina" lang="pt" hreflang="pt" data-title="Função holomorfa" data-language-autonym="Português" data-language-local-name="portugalščina" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Func%C8%9Bie_olomorf%C4%83" title="Funcție olomorfă – romunščina" lang="ro" hreflang="ro" data-title="Funcție olomorfă" data-language-autonym="Română" data-language-local-name="romunščina" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%93%D0%BE%D0%BB%D0%BE%D0%BC%D0%BE%D1%80%D1%84%D0%BD%D0%B0%D1%8F_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F" title="Голоморфная функция – ruščina" lang="ru" hreflang="ru" data-title="Голоморфная функция" data-language-autonym="Русский" data-language-local-name="ruščina" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Funzioni_olomorfa" title="Funzioni olomorfa – sicilijanščina" lang="scn" hreflang="scn" data-title="Funzioni olomorfa" data-language-autonym="Sicilianu" data-language-local-name="sicilijanščina" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Holomorphic_function" title="Holomorphic function – Simple English" lang="en-simple" hreflang="en-simple" data-title="Holomorphic function" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Holomorfn%C3%A1_funkcia" title="Holomorfná funkcia – slovaščina" lang="sk" hreflang="sk" data-title="Holomorfná funkcia" data-language-autonym="Slovenčina" data-language-local-name="slovaščina" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Funksioni_holomorfik" title="Funksioni holomorfik – albanščina" lang="sq" hreflang="sq" data-title="Funksioni holomorfik" data-language-autonym="Shqip" data-language-local-name="albanščina" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Holomorfna_funkcija" title="Holomorfna funkcija – srbščina" lang="sr" hreflang="sr" data-title="Holomorfna funkcija" data-language-autonym="Српски / srpski" data-language-local-name="srbščina" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Analytisk_funktion" title="Analytisk funktion – švedščina" lang="sv" hreflang="sv" data-title="Analytisk funktion" data-language-autonym="Svenska" data-language-local-name="švedščina" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AF%81%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AF%81%E0%AE%B0%E0%AF%81%E0%AE%B5%E0%AE%9A%E0%AF%8D_%E0%AE%9A%E0%AE%BE%E0%AE%B0%E0%AF%8D%E0%AE%AA%E0%AE%BF%E0%AE%AF%E0%AE%AE%E0%AF%8D" title="முற்றுருவச் சார்பியம் – tamilščina" lang="ta" hreflang="ta" data-title="முற்றுருவச் சார்பியம்" data-language-autonym="தமிழ்" data-language-local-name="tamilščina" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Holomorf_fonksiyon" title="Holomorf fonksiyon – turščina" lang="tr" hreflang="tr" data-title="Holomorf fonksiyon" data-language-autonym="Türkçe" data-language-local-name="turščina" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%93%D0%BE%D0%BB%D0%BE%D0%BC%D0%BE%D1%80%D1%84%D0%BD%D0%B0_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D1%96%D1%8F" title="Голоморфна функція – ukrajinščina" lang="uk" hreflang="uk" data-title="Голоморфна функція" data-language-autonym="Українська" data-language-local-name="ukrajinščina" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%C3%A0m_ch%E1%BB%89nh_h%C3%ACnh" title="Hàm chỉnh hình – vietnamščina" lang="vi" hreflang="vi" data-title="Hàm chỉnh hình" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamščina" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%85%A8%E7%BA%AF%E5%87%BD%E6%95%B0" title="全纯函数 – kitajščina" lang="zh" hreflang="zh" data-title="全纯函数" data-language-autonym="中文" data-language-local-name="kitajščina" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a 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data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Videz</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skrij</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Iz Wikipedije, proste enciklopedije</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sl" dir="ltr"><p><b>Holomórfna fúnkcija</b> je v <a href="/w/index.php?title=Kompleksna_analiza&action=edit&redlink=1" class="new" title="Kompleksna analiza (stran ne obstaja)">kompleksni analizi</a> <a href="/wiki/Funkcija" class="mw-redirect" title="Funkcija">funkcija</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f:U\rightarrow \mathbb {C} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo>:</mo> <mi>U</mi> <mo stretchy="false">→</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f:U\rightarrow \mathbb {C} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/019c15d5025cafa6e9576f32c6d40303963ea768" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.29ex; height:2.509ex;" alt="{\displaystyle f:U\rightarrow \mathbb {C} }"></span> definirana na <a href="/wiki/Odprta_mno%C5%BEica" title="Odprta množica">odprti podmnožici</a> <a href="/wiki/Kompleksna_ravnina" title="Kompleksna ravnina">kompleksne ravnine</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle U\subset \mathbb {C} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U\subset \mathbb {C} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1987e3c9fabe04333aa33cf0452f94a6daa71cbd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.559ex; height:2.176ex;" alt="{\displaystyle U\subset \mathbb {C} }"></span>, ki je <a href="/wiki/Odvod" title="Odvod">odvedljiva</a> v kompleksnem v vsaki <a href="/wiki/To%C4%8Dka_(geometrija)" title="Točka (geometrija)">točki</a>. Pogoj za odvedljivost v kompleksnem je veliko močnejši od odvedljivosti v realnem in pomeni, da je funkcija neskončno mnogokrat odvedljiva, in jo lahko opišemo z njeno <a href="/wiki/Taylorjeva_vrsta" title="Taylorjeva vrsta">Taylorjevo vrsto</a>. Holomorfne funkcije so izrednega pomena v kompleksni analizi. Izraz <a href="/w/index.php?title=Analiti%C4%8Dna_funkcija&action=edit&redlink=1" class="new" title="Analitična funkcija (stran ne obstaja)">analitična funkcija</a> se velikokrat enakovredno rabi skupaj s »holomorfno funkcijo«, čeprav se prvi izraz uporablja tudi v širšem smislu funkcije (realne, kompleksne ali splošnejšega tipa), ki je v okolici vsake točke svoje <a href="/w/index.php?title=Definicijsko_obmo%C4%8Dje&action=edit&redlink=1" class="new" title="Definicijsko območje (stran ne obstaja)">domene</a> enaka svoji Taylorjevi vrsti. Analitična funkcija ni nujno opredeljena v <a href="/wiki/Mno%C5%BEica" title="Množica">množici</a> <a href="/wiki/Kompleksno_%C5%A1tevilo" title="Kompleksno število">kompleksnih števil</a>. Dejstvo, da razred analitičnih funkcij sovpada z razredom holomorfnih funkcij, podaja eden od glavnih netrivialnih izrekov v kompleksni analizi. Holomorfne funkcije se včasih imenujejo regularne funkcije. Funkcija, ki je holomorfna na celi kompleksni ravnini, se imenuje <a href="/w/index.php?title=Cela_funkcija&action=edit&redlink=1" class="new" title="Cela funkcija (stran ne obstaja)">cela funkcija</a>. Izraz »holomorfen v točki <i>a</i>« ne pomeni le odvedljiv v <i>a</i>, ampak odvedljiv povsod znotraj kakšnega odprtega diska s središčem v <i>a</i> na kompleksni ravnini. </p><p>Izraz »holomorfen« sta uvedla dva <a href="/wiki/Augustin_Louis_Cauchy" title="Augustin Louis Cauchy">Cauchyjeva</a> študenta, <a href="/w/index.php?title=Charles_Auguste_Briot&action=edit&redlink=1" class="new" title="Charles Auguste Briot (stran ne obstaja)">Briot</a> (1817–1882) in <a href="/w/index.php?title=Jean_Claude_Bouquet&action=edit&redlink=1" class="new" title="Jean Claude Bouquet (stran ne obstaja)">Bouquet</a> (1819–1895). Izhaja iz grških besed <span title="starogrško (do 1453) besedilo"><span lang="grc">őλoς</span></span>: holos, 'cel' in <span title="starogrško (do 1453) besedilo"><span lang="grc">μoρφń</span></span>: morfé, 'oblika' ali 'videz'. </p><p>Danes matematiki raje rabijo izraz »holomorfna funkcija« za »analitično funkcijo«, ki je splošnejši pojem. To je tudi zaradi tega ker je po pomembnem spoznanju kompleksne analize vsaka holomorfna funkcija kompleksno analitična, dejstvo, ki iz definicije ne sledi neposredno. 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