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An Analytic Formula for the A₂ Jack Polynomials

Vernadsky National Library of Ukraine

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Title An Analytic Formula for the A₂ Jack Polynomials
 
Creator Mangazeev, V.V.
 
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.
 
Date 2019-02-16T08:23:33Z
2019-02-16T08:23:33Z
2007
 
Type Article
 
Identifier 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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України