Article ID Journal Published Year Pages File Type
4668222 Advances in Mathematics 2006 33 Pages PDF
Abstract

Simultaneous eigenfunctions of two Askey–Wilson second-order difference operators are constructed as formal matrix coefficients of the principal series representation of the modular double of the quantized universal enveloping algebra Uq(sl2(C)). These eigenfunctions are shown to be equal to Ruijsenaars’ hypergeometric function under a proper parameter correspondence.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)