A short proof of duality relations for hypergeometric functions

作者：Feng Runhuan; Kuznetsov Alexey^*; Yang Fenghao

来源：Journal of Mathematical Analysis and Applications, 2016, 443(1): 116-122.

DOI：10.1016/j.jmaa.2016.05.020

• Hypergeometric function
• Basic hypergeometric function
• Partial fractions
• Non-local derangement identity

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.

• 出版日期2016-11-1