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arXiv · 2004.08117

$\Gamma$-evaluations of hypergeometric series

Frits Beukers·Jens Forsgård
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Abstract

In this paper we explore special values of Gaussian hypergeometric functions in terms of products of Euler $\Gamma$-functions and exponential functions of linear functions of the hypergeometric parameters. They include some classical evaluations, but the main inspiration is from the contiguity method recently applied by Akihito Ebisu.

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Frits Beukers, Jens Forsgård. 2020-04-17. $\Gamma$-evaluations of hypergeometric series. https://arxiv.org/abs/2004.08117

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