A note on some new Pδ-transforms of ₂F₂ generalized hypergeometric functions

Abstract

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