paper

Eigenfunctions of Macdonald's -difference operator for the root system of type

arXiv:q-alg/9712054

Abstract

We construct an integral representation of eigenfunctions for Macdonald's -difference operator associated with the root system of type It is given in terms of a restriction of a -Jordan-Pochhammer integral. Choosing a suitable cycle of the integral, we obtain an integral representation of a special case of the Macdonald polynomial for the root system of type

AMS-Latex, 6 pages, no figures

Eigenfunctions of Macdonald's $q$-difference operator for the root system of type $C_n$ · wovepaper