Fractional Calculus of the Extended Hypergeometric Function

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Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Walter De Gruyter Gmbh

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Here, 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..

Açıklama

Anahtar Kelimeler

Gamma function; beta function; hypergeometric functions; extended hypergeometric function; integral transforms; fractional calculus operators; generating functions

Kaynak

Applied Mathematics and Nonlinear Sciences

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

5

Sayı

1

Künye