Duality relations for hypergeometric series
Number Theory
2015-06-12 v1 Combinatorics
Abstract
We explicitly give the relations between the hypergeometric solutions of the general hypergeometric equation and their duals, as well as similar relations for q-hypergeometric equations. They form a family of very general identities for hypergeometric series. Although they were foreseen already by N. M. Bailey in the 1930's on analytic grounds, we give a purely algebraic treatment based on general principles in general differential and difference modules.
Keywords
Cite
@article{arxiv.1406.2881,
title = {Duality relations for hypergeometric series},
author = {Frits Beukers and Frédéric Jouhet},
journal= {arXiv preprint arXiv:1406.2881},
year = {2015}
}
Comments
16 pages