A New Generalization of Pochhammer Symbol and Its Applications

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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

In this paper, we introduce a new generalization of the Pochhammer symbol by means of the generalization of extended gamma function (4). Using the generalization of Pochhammer symbol, we give a generalization of the extended hypergeometric functions one or several variables. Also, we obtain various integral representations, derivative formulas and certain properties of these functions.

Açıklama

Anahtar Kelimeler

gamma function; beta function; Pochhammer symbol; Gauss hypergeometric function; confluent hypergeometric function; Appell hypergeometric functions; Humbert hypergeometric functions of two variables; integral representations; derivative formulas; recurrence relation

Kaynak

Applied Mathematics and Nonlinear Sciences

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

5

Sayı

1

Künye