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

Research Article

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

Abstract

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

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