An elliptic hypergeometric integral with W(F_4) symmetry
Classical Analysis and ODEs
2011-05-03 v1
Abstract
In this article we give a new transformation between elliptic hypergeometric beta integrals, which gives rise to a Weyl group symmetry of type F_4. The transformation is a generalization of a series transformation discovered by Langer, Schlosser, and Warnaar. Moreover we consider various limits of this transformation to basic hypergeometric functions obtained by letting p tend to 0.
Keywords
Cite
@article{arxiv.0909.4793,
title = {An elliptic hypergeometric integral with W(F_4) symmetry},
author = {Fokko J. van de Bult},
journal= {arXiv preprint arXiv:0909.4793},
year = {2011}
}