An Analytic Formula for the A₂ Jack Polynomials

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dc.contributor.authorMangazeev, V.V.
dc.date.accessioned2019-02-16T08:23:33Z
dc.date.available2019-02-16T08:23:33Z
dc.date.issued2007
dc.description.abstractIn 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.uk_UA
dc.description.sponsorshipThis 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.uk_UA
dc.identifier.citationAn Analytic Formula for the A₂ Jack Polynomials / V.V. Mangazeev // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 05E05; 33C20; 82B23
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147796
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleAn Analytic Formula for the A₂ Jack Polynomialsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік