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arXiv · 1409.8527

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

Y. S. Kim·A. K. Rathie·R. B. Paris
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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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Y. S. Kim, A. K. Rathie, R. B. Paris. 2014-09-30. A note on a hypergeometric transformation formula due to Slater with an application. https://arxiv.org/abs/1409.8527

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