Mathematica Eterna
Open Access

Abstract

A note on a hypergeometric transformation formula due to Slater with an application

Y. S. Kim, A. K. Rathie and R. B. Paris

In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a new hypergeometric transformation formula for a 5F4(−1) series with one pair of parameters differing by unity expressed as a linear combination of two 3F2(1) series