A short proof of duality relations for hypergeometric functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:443

Article

Feng, Runhuan¹  Kuznetsov, Alexey²  Yang, Fenghao² 

[1] Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA

[2] York Univ, Dept Math & Stat, 4700 Keele St, Toronto, ON M3J 1P3, Canada

关键词: Hypergeometric function;    Basic hypergeometric function;    Partial fractions;    Non-local derangement identity;   

DOI  :  10.1016/j.jmaa.2016.05.020

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free