Hypergeometric and basic hypergeometric series and integrals associated with root systems
Abstract
We give an overview of some of the main results from the theories of hypergeometric and basic hypergeometric series and integrals associated with root systems. In particular, we list a number of summations, transformations and explicit evaluations for such multiple series and integrals. We concentrate on such results which do not directly extend to the elliptic level. This text is a provisional version of a chapter on hypergeometric and basic hypergeometric series and integrals associated with root systems for volume 2 of the new Askey--Bateman project which deals with "Multivariable special functions".
Cite
@article{arxiv.1705.09221,
title = {Hypergeometric and basic hypergeometric series and integrals associated with root systems},
author = {Michael J. Schlosser},
journal= {arXiv preprint arXiv:1705.09221},
year = {2017}
}
Comments
39 pages; small changes and references added; this text will appear as a chapter in the book "Multivariable Special Functions" (edited by Tom Koornwinder and Jasper Stokman) which is part of the new Askey-Bateman project