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