$\Gamma$-evaluations of hypergeometric series

DOI10.1007/S11139-022-00566-4arXiv2004.08117MaRDI QIDQ6338887

Frits Beukers, Jens Forsgård

Publication date: 17 April 2020

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.

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)

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