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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| Дата: | 2007 |
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| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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. |
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irk-123456789-1477962019-02-17T01:27:16Z An Analytic Formula for the A₂ Jack Polynomials Mangazeev, V.V. 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. 2007 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147796 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Mangazeev, V.V. |
| spellingShingle |
Mangazeev, V.V. An Analytic Formula for the A₂ Jack Polynomials Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Mangazeev, V.V. |
| author_sort |
Mangazeev, V.V. |
| title |
An Analytic Formula for the A₂ Jack Polynomials |
| title_short |
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_sort |
analytic formula for the a₂ jack polynomials |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147796 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT mangazeevvv ananalyticformulaforthea2jackpolynomials AT mangazeevvv analyticformulaforthea2jackpolynomials |
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2023-05-20T17:28:33Z |
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