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 |
|---|---|
| Datum: | 2009 |
| ISSN: | 1815-0659 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149112 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862751932329754624 |
|---|---|
| author | Komori, Y. Noumi, M. Shiraishi, J. |
| author_facet | Komori, Y. Noumi, M. Shiraishi, J. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-12-07T21:14:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149112 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:14:40Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Komori, Y. Noumi, M. Shiraishi, J. 2019-02-19T17:28:01Z 2019-02-19T17:28:01Z 2009 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. 1815-0659 2000 Mathematics Subject Classification: 81R12; 33D67 https://nasplib.isofts.kiev.ua/handle/123456789/149112 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications Article published earlier |
| spellingShingle | Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications Komori, Y. Noumi, M. Shiraishi, J. |
| title | Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications |
| title_full | Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications |
| title_fullStr | Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications |
| title_full_unstemmed | Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications |
| title_short | Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications |
| title_sort | kernel functions for difference operators of ruijsenaars type and their applications |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149112 |
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