A NOTE ON SOME NEW Pδ-TRANSFORMS OF 2F2 GENERALIZED HYPERGEOMETRIC FUNCTIONS

A NOTE ON SOME NEW Pδ-TRANSFORMS OF 2F2 GENERALIZED HYPERGEOMETRIC FUNCTIONS

S. D. Purohit, H. V. Harsh, A. K. Rathie

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Abstract

In this note, we aim to establish P-transforms of 2F2 generalized hyper- geometric 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 2F1 obtained earlier by Lavoie et al. [2]. Special cases of our main ndings are known results derived earlier by Parmar et al. [3].

Keywords

Generalized hypergeometric functions, Classical summation theorems, P- transform, Laplace transform.