Extension of incomplete gamma, beta and hypergeometric functions

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dc.contributor.authorÖzarslan, Mehmet Ali
dc.contributor.authorUstaoğlu, Ceren
dc.date.accessioned2026-02-06T17:58:53Z
dc.date.issued2019
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractRecently, some extensions of the generalised gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been introduced. In this paper, we introduce generalisations of incomplete gamma, beta, Gauss, confluent and Appell's hypergeometric functions. Some integral representations, Mellin transforms, transformation formulae, differentiation formulae, difference formulae and fractional calculus formulae are obtained for these functions. © 2019 NSP.
dc.identifier.doi10.18576/pfda/050103
dc.identifier.endpage35
dc.identifier.issn2356-9336
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85061781026
dc.identifier.scopusqualityQ2
dc.identifier.startpage21
dc.identifier.urihttps://doi.org/10.18576/pfda/050103
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/
dc.identifier.urihttps://hdl.handle.net/11129/7795
dc.identifier.volume5
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherNatural Sciences Publishing amis@natural-s-publishing.com
dc.relation.ispartofProgress in Fractional Differentiation and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260204
dc.subjectFractional calculus formulae
dc.subjectGeneralisations of incomplete Appell's hypergeometric function
dc.subjectGeneralisations of incomplete gamma and beta functions
dc.subjectGeneralisations of incomplete Gauss and confluent hypergeometric function
dc.subjectMellin transforms
dc.titleExtension of incomplete gamma, beta and hypergeometric functions
dc.typeArticle

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