Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit
Representation Theory
2015-09-09 v3 Mathematical Physics
math.MP
Abstract
We present an explicit difference equation for the Heckman-Opdam hypergeometric function associated with root systems. Via a confluent hypergeometric limit, an analogous difference equation is obtained for the class-one Whittaker function diagonalizing the open quantum Toda chain.
Keywords
Cite
@article{arxiv.1411.0463,
title = {Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit},
author = {J. F. van Diejen and E. Emsiz},
journal= {arXiv preprint arXiv:1411.0463},
year = {2015}
}
Comments
15 pages, minor corrections and references added