$\Gamma$-evaluations of hypergeometric series
Classical Analysis and ODEs
2021-06-23 v2 Number Theory
Abstract
In this paper we explore special values of Gaussian hypergeometric functions in terms of products of Euler -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.
Cite
@article{arxiv.2004.08117,
title = {$\Gamma$-evaluations of hypergeometric series},
author = {Frits Beukers and Jens Forsgård},
journal= {arXiv preprint arXiv:2004.08117},
year = {2021}
}
Comments
18 pages, 2 figures, this is a corrected version