Degenerate Pochhammer symbol, degenerate Sumudu transform, and degenerate hypergeometric function with applications
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Tarih
2021
Yazarlar
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
