Fractional Calculus of the Extended Hypergeometric Function

dc.authoridYagci, Oguz/0000-0001-9902-8094
dc.contributor.authorSahin, Recep
dc.contributor.authorYagci, Oguz
dc.date.accessioned2025-01-21T16:41:13Z
dc.date.available2025-01-21T16:41:13Z
dc.date.issued2020
dc.departmentKırıkkale Üniversitesi
dc.description.abstractHere, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equation involving the generalized Gauss hypergeometric function. Also, we obtain generating functions for generalization of extended hypergeometric function..
dc.identifier.doi10.2478/AMNS.2020.1.00035
dc.identifier.endpage384
dc.identifier.issn2444-8656
dc.identifier.issue1
dc.identifier.startpage369
dc.identifier.urihttps://doi.org/10.2478/AMNS.2020.1.00035
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24844
dc.identifier.volume5
dc.identifier.wosWOS:000664154800034
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherWalter De Gruyter Gmbh
dc.relation.ispartofApplied Mathematics and Nonlinear Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectGamma function; beta function; hypergeometric functions; extended hypergeometric function; integral transforms; fractional calculus operators; generating functions
dc.titleFractional Calculus of the Extended Hypergeometric Function
dc.typeArticle

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