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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">sesj</journal-id>
<journal-title-group><journal-title>Stardom Scientific Journal of Natural and Engineering Sciences</journal-title></journal-title-group>
<issn pub-type="epub">2980-3756</issn>
<publisher><publisher-name>Stardom University</publisher-name></publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.70170/wbYsD98713</article-id>
<article-id pub-id-type="publisher-id">77</article-id>
<title-group><article-title>A New Extended Beta Function Involving Generalized Mittag-Leffler Function and Its Applications</article-title></title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Salem Barahma</surname>
<given-names>Dr.</given-names>
</name>
</contrib>
</contrib-group>
<pub-date publication-format="electronic" date-type="pub">
<day>30</day>
<month>04</month>
<year>2024</year>
</pub-date>
<volume>2</volume>
<issue>1</issue>
<fpage>58</fpage>
<lpage>86</lpage>
<permissions><license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/"><license-p>This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License.</license-p></license></permissions>
<self-uri xlink:href="https://engineering.stardomuniversityscientificjournals.edu.eu/research/new-extended-beta-function-mittag-leffler-function-applications"/>
<abstract><p>The main object of this paper is to introduce a new extension of the beta function involving the generalized Mittag-Leffler function and study its important properties, like integral representation, summation formula, derivative formula, beta distribution and transform formula. We introduce new extended hypergeometric and confluent hypergeometric functions.</p></abstract>
<kwd-group kwd-group-type="author"><kwd>beta function</kwd><kwd>Mittag-Leffler function</kwd><kwd>hypergeometric function</kwd><kwd>gamma function</kwd><kwd>beta distribution</kwd></kwd-group>
</article-meta>
</front>
<body><sec><title>Full Text</title><p>Full text available as PDF at <ext-link ext-link-type="uri" xlink:href="https://engineering.stardomuniversityscientificjournals.edu.eu/research/new-extended-beta-function-mittag-leffler-function-applications">https://engineering.stardomuniversityscientificjournals.edu.eu/research/new-extended-beta-function-mittag-leffler-function-applications</ext-link></p></sec></body>
</article>