2020/04/17 by Frits Beukers, Beukers, Frits, Jens Forsgård +1
Mathematics · #33C05 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2004.08117
openalex publication_date 2020/04/17 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
In this paper we explore special values of Gaussian hypergeometric functions in terms of products of Euler Γ-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.