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arXiv · 1512.01121

A short proof of duality relations for hypergeometric functions

Runhuan Feng·Alexey Kuznetsov·Fenghao Yang
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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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Runhuan Feng, Alexey Kuznetsov, Fenghao Yang. 2015-12-03. A short proof of duality relations for hypergeometric functions. https://arxiv.org/abs/1512.01121

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