A NOTE ON SOME NEW [P.sub.[delta]]-TRANSFORMS OF [.sub.2][F.sub.2] GENERALIZED HYPERGEOMETRIC FUNCTIONS

In this note, we aim to establish [P.sub.[delta]]-transforms of [.sub.2][F.sub.2] generalized hypergeometric functions in terms of gamma functions. The results are established from the generalized classical summation theorems due to Gauss's second, Kummer's and Bailey's for the series...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 10; no. 3; p. 761
Main Authors Purohit, S.D, Harsh, H.V, Rathie, A.K
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.07.2020
Subjects
Functions (Mathematics)
Mathematical research
India
Online AccessGet full text
ISSN2146-1147

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Summary:In this note, we aim to establish [P.sub.[delta]]-transforms of [.sub.2][F.sub.2] generalized hypergeometric functions in terms of gamma functions. The results are established from the generalized classical summation theorems due to Gauss's second, Kummer's and Bailey's for the series [.sub.2][F.sub.1] obtained earlier by Lavoie et al. [2]. Special cases of our main findings are known results derived earlier by Parmar et al. [3]. Keywords: Generalized hypergeometric functions, Classical summation theorems, [P.sub.[delta]]transform, Laplace transform. AMS Subject Classification: 33[C.sub.2]0, 33C90, 33C05.
ISSN:2146-1147