A short proof of duality relations for hypergeometric functions

被引：6

作者：

Feng, Runhuan ^{[1
]}

Kuznetsov, Alexey ^{[2
]}

Yang, Fenghao ^{[2
]}

机构：

[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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 443卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Hypergeometric function; Basic hypergeometric function; Partial fractions; Non-local derangement identity; SERIES;

D O I：

10.1016/j.jmaa.2016.05.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：116 / 122

页数：7