A short proof of duality relations for hypergeometric functions
Classical Analysis and ODEs
2016-05-10 v2
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.
Cite
@article{arxiv.1512.01121,
title = {A short proof of duality relations for hypergeometric functions},
author = {Runhuan Feng and Alexey Kuznetsov and Fenghao Yang},
journal= {arXiv preprint arXiv:1512.01121},
year = {2016}
}
Comments
8 pages