Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

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.

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2009-01, Vol.5, p.054
1. Verfasser: Komori, Yasushi
Format: Artikel
Sprache:eng
Schlagworte:
kernel function
Koornwinder polynomial
Ruijsenaars operator
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Zusammenfassung: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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2009.054