%0 Journal Article
%T Eigenfunctions of Macdonald's $q$-difference operator for the root system of type $C_n$
%A Katsuhisa Mimachi
%J Mathematics
%D 1997
%I arXiv
%X We construct an integral representation of eigenfunctions for Macdonald's $q$-difference operator associated with the root system of type $C_n .$ It is given in terms of a restriction of a $q$-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 $C_n .$
%U http://arxiv.org/abs/q-alg/9712054v1