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A note on a hypergeometric transformation formula due to Slater with an application (1409.8527v1)
Published 30 Sep 2014 in math.CA
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 ${}_5F_4(-1)$ series with one pair of parameters differing by unity expressed as a linear combination of two ${}_3F_2(1)$ series.
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