@article{03abb195144348d8b55630f20d567382,
title = "A short proof of duality relations for hypergeometric functions",
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.",
keywords = "Basic hypergeometric function, Hypergeometric function, Non-local derangement identity, Partial fractions",
author = "Runhuan Feng and Alexey Kuznetsov and Fenghao Yang",
note = "Funding Information: The research of A. Kuznetsov is supported by the Natural Sciences and Engineering Research Council of Canada . We would like to thank Mourad Ismail for suggesting the non-local derangement identity ( Lemma 1 ) as a simpler way of proving Theorem 1 – our original proof was more complicated and it was based on Meijer G-function. We are also grateful to two referees, who have carefully read the earlier version of this manuscript and have provided several valuable comments and have pointed out relevant references. Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",
year = "2016",
month = nov,
day = "1",
doi = "10.1016/j.jmaa.2016.05.020",
language = "English (US)",
volume = "443",
pages = "116--122",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",
}