{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T02:09:25Z","timestamp":1771466965061,"version":"3.50.1"},"reference-count":19,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,8,16]],"date-time":"2021-08-16T00:00:00Z","timestamp":1629072000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman. In particular, we study some functional relations, integral representation, Mellin transform and derivative formulas for this extended beta function.<\/jats:p>","DOI":"10.3390\/axioms10030187","type":"journal-article","created":{"date-parts":[[2021,8,16]],"date-time":"2021-08-16T21:27:45Z","timestamp":1629149265000},"page":"187","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["An Extension of Beta Function by Using Wiman\u2019s Function"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0953-751X","authenticated-orcid":false,"given":"Rahul","family":"Goyal","sequence":"first","affiliation":[{"name":"Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6326-8456","authenticated-orcid":false,"given":"Shaher","family":"Momani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan"},{"name":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7556-8942","authenticated-orcid":false,"given":"Praveen","family":"Agarwal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India"},{"name":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates"},{"name":"Department of Mathematics, Harish-Chandra Research Institute, Allahabad 211019, India"},{"name":"International Center for Basic and Applied Sciences, Jaipur 302029, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael Th.","family":"Rassias","sequence":"additional","affiliation":[{"name":"Institute for Advanced Study, Program in Interdisciplinary Studies, 1 Einstein Dr, Princeton, NJ 08540, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,8,16]]},"reference":[{"key":"ref_1","first-page":"1","article-title":"Certain unified integrals associated with Bessel functions","volume":"1","author":"Agarwal","year":"2013","journal-title":"Bound. Value Probl."},{"key":"ref_2","first-page":"348","article-title":"Generating functions for the generalized Gauss hypergeometric functions","volume":"247","author":"Srivastava","year":"2014","journal-title":"Commun. Appl. 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