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An analytic formula for the A2 Jack polynomials

Mangazeev, Vladimir


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.

CollectionsANU Research Publications
Date published: 2007-01-24
Type: Journal article
Source: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
DOI: 10.3842/SIGMA.2007.014


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