$Γ$-evaluations of hypergeometric series

Frits Beukers, Jens Forsgård

Published 2020-04-17Version 1

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.