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Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
Інший ID:
2000 Mathematics Subject Classification: 81R12; 33D67
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” (July 21–25, 2008, MPIM, Bonn, Germany). The authors express their sincere gratitude to Professor Simon Ruijsenaars for his valuable comments concerning the comparison of results in the present paper with those in his series of works, and to Professor Eric Rains for suggesting the connection of the explicit formulas for the Koornwinder polynomials in this paper with the binomial expansion formula in terms of interpolation polynomials. Also, they are grateful to the anonymous referees who kindly of fered helpful suggestions for improving the manuscript.
Дата:
2009
Переглядів:
514
Завантажень:
245
Анотація:
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.
