Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials attached to single columns and single rows are derived.

Bibliographic Details
Main Authors: Yasushi Komori, Masatoshi Noumi, Jun'ichi Shiraishi
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-05-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.054