Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

Abstract

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.

Keywords

• kernel function
• Ruijsenaars operator
• Koornwinder polynomial