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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/AsbHLp413111</article-id>
<article-id pub-id-type="publisher-id">24</article-id>
<title-group><article-title>A New Extension of Beta Function by Associated with Appell Function</article-title></title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Saleh Alqasemi Barahmah</surname>
<given-names>Salem</given-names>
</name>
<aff><institution>Department of Mathematics, Faculty of Education, Aden</institution></aff>
</contrib>
</contrib-group>
<pub-date publication-format="electronic" date-type="pub">
<day>30</day>
<month>07</month>
<year>2025</year>
</pub-date>
<volume>3</volume>
<issue>1</issue>
<fpage>1</fpage>
<lpage>29</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-extension-beta-function-associated-appell-function"/>
<abstract><p>The main objective of this paper is to introduce a further extension of extended beta function by considering Appell functions. Various properties of this newly defined beta function are investigated such as integral representations, summation formulas, generalized Gauss and confluent hypergeometric functions and differentiation formulas for the extended hypergeometric and confluent hypergeometric functions. Some new relations for various forms of extended beta functions are obtained as special cases of the main results.</p></abstract>
</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-extension-beta-function-associated-appell-function">https://engineering.stardomuniversityscientificjournals.edu.eu/research/new-extension-beta-function-associated-appell-function</ext-link></p></sec></body>
</article>