Extended Incomplete Version of Hypergeometric Functions

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dc.contributor.authorOzarslan, Mehmet Ali
dc.contributor.authorUstaoglu, Ceren
dc.date.accessioned2026-02-06T18:16:53Z
dc.date.issued2020
dc.departmentDoğu Akdeniz Üniversitesi
dc.description1st Mediterranean International Conference of Pure and Applied Mathematics and Related Areas (MICOPAM) -- OCT 26-29, 2018 -- Akdeniz Univ, Antalya, TURKEY
dc.description.abstractRecently, the incomplete Pochhammer ratios are defined in terms of incomplete beta and gamma functions [10]. In this paper, we introduce the extended incomplete version of Pochhammer symbols in terms of the generalized incomplete gamma functions. With the help of this extended incomplete version of Pochhammer symbols we introduce the extended incomplete version of Gauss hypergeometric and Appell's functions and investigate several properties of them such as integral representations, derivative formulas, transformation formulas, Mellin transforms and log convex properties. Furthermore, we investigate incomplete fractional derivatives for extended incomplete version of some elementary functions.
dc.identifier.doi10.2298/FIL2002653O
dc.identifier.endpage662
dc.identifier.issn0354-5180
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85096942296
dc.identifier.scopusqualityQ2
dc.identifier.startpage653
dc.identifier.urihttps://doi.org/10.2298/FIL2002653O
dc.identifier.urihttps://hdl.handle.net/11129/8703
dc.identifier.volume34
dc.identifier.wosWOS:000595329700044
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectincomplete gamma function
dc.subjectincomplete beta function
dc.subjectextended incomplete version of Pochhammer symbols
dc.subjectextended incomplete version of hypergeometric functions
dc.subjectincomplete Riemann-Liouville fractional integral operators
dc.titleExtended Incomplete Version of Hypergeometric Functions
dc.typeConference Object

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