Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Komori, Y., Noumi, M., Shiraishi, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149112
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications / Y. Komori, M. Noumi, J. Shiraishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ.

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.