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