An Analytic Formula for the A_2 Jack Polynomials

An Analytic Formula for the A_2 Jack Polynomials

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In this letter I shall review my joint results with Vadim Kuznetsov and nitrile gloves in a bucket Evgeny Sklyanin [Indag.Math.14 (2003), 451-482] on separation of variables (SoV) for the $A_n$ Jack polynomials.

This approach originated from the work [RIMS Kokyuroku 919 (1995), 27-34] where the integral representations for the $A_2$ Jack polynomials was derived.Using special polynomial bases I shall obtain a more explicit expression for the $A_2$ Jack polynomials in terms tillman 750m of generalised hypergeometric functions.