A short proof of duality relations for hypergeometric functions

2015/12/03 by Feng, Runhuan, Kuznetsov, Alexey, Yang, Fenghao
#33C20 #33D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1512.01121

Abstract

Identities involving finite sums of products of hypergeometric functions and their duals have been studied since 1930s. Recently Beukers and Jouhet have used an algebraic approach to derive a very general family of duality relations. In this paper we provide an alternative way of obtaining such results. Our method is very simple and it is based on the non-local derangement identity.

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