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arXiv · 1411.0463

Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit

J. F. van Diejen·E. Emsiz
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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.

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BibTeXRIS

J. F. van Diejen, E. Emsiz. 2015-09-08. Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit. https://doi.org/10.1016/j.aim.2015.08.018

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