A NOTE ON SOME NEW Pδ-TRANSFORMS OF ${}_2F_2$ GENERALIZED HYPERGEOMETRIC FUNCTIONS

Özet

In this note, we aim to establish Pδ-transforms of ${}_2F_2$ 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 ${}_2F_1$ obtained earlier by Lavoie et al. [2]. Special cases of our main findings are known results derived earlier by Parmar et al. [3].