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

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

1997-12-25

arxiv.org/abs/q-alg/9712054v1

Mathematics

Quantum Algebra

AMS-Latex, 6 pages, no figures

Scientific paper

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 $C_n .$

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