Eigenfunctions of Macdonald's q-difference operator for the root system of type C_n
classification
q-alg
math.QA
keywords
integralmacdonaldrootsystemtypedifferenceeigenfunctionsoperator
read the original abstract
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 $C_n .$
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.