Degenerate Pochhammer symbol, degenerate Sumudu transform, and degenerate hypergeometric function with applications

[ X ]

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Hacettepe Univ, Fac Sci

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In the paper, we first define a degenerate Pochhammer symbol by using the degenerate gamma function and investigate its properties. By using the degenerate Pochhammer symbol, we introduce and investigate a degenerate hypergeometric function. We also define a degenerate Sumudu transform and investigate its properties by using degenerate exponential function. Finally, we give certain the integral representations, derivative formulas, integral transforms, factional calculus applications, and generating functions of the degenerate hypergeometric function.

Açıklama

Anahtar Kelimeler

degenerate Pochhammer symbol; degenerate Sumudu transform; degenerate; hypergeometric function; gamma function; degenerate gamma function; beta function; generalized hypergeometric function; Laplace transform; degenerate Laplace transform; Stieltjes transform; Laguerre transform; generating function; fractional calculus operator

Kaynak

Hacettepe Journal of Mathematics and Statistics

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

50

Sayı

5

Künye