Mangazeev, Vladimir2009-06-092010-12-202009-06-092010-12-20Symmetry, Integrability and Geometry: Methods and Applications 3.014 (2007)1815-0659http://hdl.handle.net/10440/431http://digitalcollections.anu.edu.au/handle/10440/431In 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.11 pageshttp://www.emis.de/journals/SIGMA/about.html#overlay "The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence." - from journal web site (as at 23/02/10)Jack polynomialsintegral operatorshypergeometric functions2007-01-2410.3842/SIGMA.2007.0142015-12-08