Eigenfunctions of Macdonald's q-difference operator for the root system of type Cn
Katsuhisa Mimachi
Abstract
We construct an integral representation of eigenfunctions for Macdonald's q-difference operator associated with the root system of type Cn . 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 Cn .
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