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Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

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dc.contributor.author Komori, Y.
dc.contributor.author Noumi, M.
dc.contributor.author Shiraishi, J.
dc.date.accessioned 2019-02-19T17:28:01Z
dc.date.available 2019-02-19T17:28:01Z
dc.date.issued 2009
dc.identifier.citation 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. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2000 Mathematics Subject Classification: 81R12; 33D67
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/149112
dc.description.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. uk_UA
dc.description.sponsorship 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. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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