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An Analytic Formula for the A₂ Jack Polynomials
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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An Analytic Formula for the A₂ Jack Polynomials
Інший ID:
2000 Mathematics Subject Classification: 05E05; 33C20; 82B23
Посилання:
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.
Підтримка:
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.
Дата:
2007
Переглядів:
647
Завантажень:
248
Анотація:
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.
