Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
Classical Analysis and ODEs
2009-05-26 v1 Combinatorics
Abstract
We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which appears to be new even in the one-variable, basic case.
Cite
@article{arxiv.0905.4033,
title = {Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture},
author = {Robin Langer and Michael J. Schlosser and S. Ole Warnaar},
journal= {arXiv preprint arXiv:0905.4033},
year = {2009}
}