An Analytic Formula for the A₂ Jack Polynomials
In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482] on separation of variables (SoV) for the An Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27-34] where the integral representations for the...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147796 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | An Analytic Formula for the A₂ Jack Polynomials / V.V. Mangazeev // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862645429421735936 |
|---|---|
| author | Mangazeev, V.V. |
| author_facet | Mangazeev, V.V. |
| citation_txt | An Analytic Formula for the A₂ Jack Polynomials / V.V. Mangazeev // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482] on separation of variables (SoV) for the An Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27-34] where the integral representations for the A2 Jack polynomials was derived. Using special polynomial bases I shall obtain a more explicit expression for the A2 Jack polynomials in terms of generalised hypergeometric functions.
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| first_indexed | 2025-12-01T10:51:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147796 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T10:51:06Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mangazeev, V.V. 2019-02-16T08:23:33Z 2019-02-16T08:23:33Z 2007 An Analytic Formula for the A₂ Jack Polynomials / V.V. Mangazeev // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 05E05; 33C20; 82B23 https://nasplib.isofts.kiev.ua/handle/123456789/147796 In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482] on separation of variables (SoV) for the An Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27-34] where the integral representations for the A2 Jack polynomials was derived. Using special polynomial bases I shall obtain a more explicit expression for the A2 Jack polynomials in terms of generalised hypergeometric functions. This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. I greatly benefited in my understanding of the quantum SoV from very stimulating discussions with Vadim Kuznetsov and Evgeny Sklyanin. A warm atmosphere at Leeds University, critical and creative talks with Vadim are things which will be greatly missed. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications An Analytic Formula for the A₂ Jack Polynomials Article published earlier |
| spellingShingle | An Analytic Formula for the A₂ Jack Polynomials Mangazeev, V.V. |
| title | An Analytic Formula for the A₂ Jack Polynomials |
| title_full | An Analytic Formula for the A₂ Jack Polynomials |
| title_fullStr | An Analytic Formula for the A₂ Jack Polynomials |
| title_full_unstemmed | An Analytic Formula for the A₂ Jack Polynomials |
| title_short | An Analytic Formula for the A₂ Jack Polynomials |
| title_sort | analytic formula for the a₂ jack polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147796 |
| work_keys_str_mv | AT mangazeevvv ananalyticformulaforthea2jackpolynomials AT mangazeevvv analyticformulaforthea2jackpolynomials |