-Selberg Integrals and Koornwinder Polynomials
We prove a generalization of the -Selberg integral evaluation formula. The integrand is that of a -Selberg integral multiplied by a factor of the same form with respect to part of the variables. The proof relies on the quadratic norm formula of Koornwinder polynomials. We also derive generalizations...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2022 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211531 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | -Selberg Integrals and Koornwinder Polynomials. Jyoichi Kaneko. SIGMA 18 (2022), 014, 35 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734001978998784 |
|---|---|
| author | Kaneko, Jyoichi |
| author_facet | Kaneko, Jyoichi |
| citation_txt | -Selberg Integrals and Koornwinder Polynomials. Jyoichi Kaneko. SIGMA 18 (2022), 014, 35 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove a generalization of the -Selberg integral evaluation formula. The integrand is that of a -Selberg integral multiplied by a factor of the same form with respect to part of the variables. The proof relies on the quadratic norm formula of Koornwinder polynomials. We also derive generalizations of Mehta's integral formula as limit cases of our integral.
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| first_indexed | 2026-04-17T15:59:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211531 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T15:59:35Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kaneko, Jyoichi 2026-01-05T12:27:06Z 2022 -Selberg Integrals and Koornwinder Polynomials. Jyoichi Kaneko. SIGMA 18 (2022), 014, 35 pages 1815-0659 2020 Mathematics Subject Classification: 33D52; 05A30; 11B65 arXiv:2106.03421 https://nasplib.isofts.kiev.ua/handle/123456789/211531 https://doi.org/10.3842/SIGMA.2022.014 We prove a generalization of the -Selberg integral evaluation formula. The integrand is that of a -Selberg integral multiplied by a factor of the same form with respect to part of the variables. The proof relies on the quadratic norm formula of Koornwinder polynomials. We also derive generalizations of Mehta's integral formula as limit cases of our integral. The author is very grateful to the referees and the editor for many valuable comments and suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications -Selberg Integrals and Koornwinder Polynomials Article published earlier |
| spellingShingle | -Selberg Integrals and Koornwinder Polynomials Kaneko, Jyoichi |
| title | -Selberg Integrals and Koornwinder Polynomials |
| title_full | -Selberg Integrals and Koornwinder Polynomials |
| title_fullStr | -Selberg Integrals and Koornwinder Polynomials |
| title_full_unstemmed | -Selberg Integrals and Koornwinder Polynomials |
| title_short | -Selberg Integrals and Koornwinder Polynomials |
| title_sort | -selberg integrals and koornwinder polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211531 |
| work_keys_str_mv | AT kanekojyoichi selbergintegralsandkoornwinderpolynomials |