Further Generalizations Of Gamma, Beta And Related Functions

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Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Prishtines

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we present further generalizations of gamma and beta functions by adding extra parameters to their integral representations. Then we introduce new generalizations of hypergeometric and confluent hypergeometric functions by using new beta function. We also obtain many interesting properties such as integral transforms, differentiation formulas, Mellin transforms, transformation formulas, differential and difference relations and a summation formula.

Açıklama

Kiymaz, I. Onur/0000-0003-2375-0202; Kiymaz, I. Onur/0000-0003-2375-0202

Anahtar Kelimeler

Hypergeometric function, Gamma and Beta functions, Integral representations, Mellin transforms, Difference operator, Summation formula

Kaynak

Journal Of Inequalities And Special Functions

WoS Q DeÄŸeri

N/A

Scopus Q DeÄŸeri

Cilt

9

Sayı

4

Künye

closedAccess