A first order -difference system for the -type Jackson integral and its applications.
Dunkl operators
Kernel functions for difference operators of Ruijsenaars type and their applications.
Kostka-Foulkes polynomials for symmetrizable Kac-Moody algebras.
Macdonald polynomials and multivariable basic hypergeometric series.
On the Faraut-Koranyi hypergeometric functions in rank two
We give a complete description of the boundary behaviour of the generalized hypergeometric functions, introduced by Faraut and Koranyi, on Cartan domains of rank 2. The main tool is a new integral representation for some spherical polynomials, which may be of independent interest.
Some conjectures for Macdonald polynomials of type .
The roots of the third J. Jckson -Bessel function.
Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture.