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An Analytic Formula for the A_2 Jack Polynomials

Vladimir V. Mangazeev
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Abstract

In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482, math.CA/0306242] on separation of variables for the $A_n$ Jack polynomials. This approach originated from the work [RIMS Kokyuroku 919 (1995), 27-34, solv-int/9508002] 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 of generalised hypergeometric functions.

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Vladimir V. Mangazeev. 2007-01-24. An Analytic Formula for the A_2 Jack Polynomials. https://doi.org/10.3842/sigma.2007.014

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