An extension of F1, F2, F3 appell's hypergeometric functions

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dc.contributor.authorŞahin, Recep
dc.contributor.authorAltin, Charles A.
dc.date.accessioned2026-02-06T18:01:04Z
dc.date.issued2011
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractThe main aim of this paper is to construct an extension of Appell's hypergeometric functions by means of modified Beta functions B(x,y;p). We give integral representations for these functions and obtain some relations for these functions and extended Gauss hypergeometric function via decomposition operators defined by Burchnall and Chaundy. Furthermore we present some transformation formulas for the first and second kind of extended Appell's hypergeometric functions. Also, we give some relations between first kind of extended Appell's hypergeometric functions.Whittaker and Modified Bessel functions.
dc.identifier.endpage105
dc.identifier.issn0381-7032
dc.identifier.scopus2-s2.0-79959441937
dc.identifier.scopusqualityN/A
dc.identifier.startpage97
dc.identifier.urihttps://hdl.handle.net/11129/8250
dc.identifier.volume100
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherCharles Babbage Research Centre
dc.relation.ispartofArs Combinatoria
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260204
dc.subjectExtended appell's hypergeometric function
dc.subjectExtended hypergeometric function
dc.subjectHypergeometric function
dc.subjectModified beta function
dc.titleAn extension of F1, F2, F3 appell's hypergeometric functions
dc.typeArticle

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