Some generating relations for extended hypergeometric functions via generalized fractional derivative operator

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dc.contributor.authorOzarslan, M. Ali
dc.contributor.authorOzergin, Emine
dc.date.accessioned2026-02-06T18:40:04Z
dc.date.issued2010
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractRecently an extension of beta function containing an extra parameter, which proved to be useful earlier, was used to extend the hypergeometric functions (Aslam Chaudhry, 2004 [6]). In this paper, linear and bilinear generating relations for extended hypergeometric functions are obtained by defining the extension of the fractional derivative operator. Some properties of the extended fractional derivative operator are also presented. (C) 2010 Elsevier Ltd. All rights reserved.
dc.description.sponsorshipMinistry of National Education of TRNC [MEKB-09-01]
dc.description.sponsorshipThe authors are very grateful to the anonymous referees for the careful reading of the paper. The present investigation was supported, in part, by the Ministry of National Education of TRNC under project MEKB-09-01.
dc.identifier.doi10.1016/j.mcm.2010.07.011
dc.identifier.endpage1833
dc.identifier.issn0895-7177
dc.identifier.issn1872-9479
dc.identifier.issue9-10
dc.identifier.scopus2-s2.0-77956009547
dc.identifier.scopusqualityN/A
dc.identifier.startpage1825
dc.identifier.urihttps://doi.org/10.1016/j.mcm.2010.07.011
dc.identifier.urihttps://hdl.handle.net/11129/13149
dc.identifier.volume52
dc.identifier.wosWOS:000281354400045
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofMathematical and Computer Modelling
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectGenerating functions
dc.subjectHypergeometric function
dc.subjectAppell's hypergeometric functions
dc.subjectLauricella's hypergeometric function
dc.subjectFractional derivative operator
dc.subjectMellin transform
dc.titleSome generating relations for extended hypergeometric functions via generalized fractional derivative operator
dc.typeArticle

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