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Forrester's Conjectured Constant Term Identity II

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Abstract.

We continue our study on Forrester's conjectured constant term identity which is equivalent to a new kind of generalization of the Selberg integral. The special cases N 1 = 2,3 of the conjecture have been verified in our previous paper [6]. We show the conjecture holds in the other extreme case N 1 = N-1. The proof is based on the integration formula of Jack polynomials and the Chu-Vandermonde formula for the generalized binomial coefficients.

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  1. Department of Mathematical Sciences, University of the Ryukyus, Nishihara, Okinawa 903-0213, Japan, kaneko@math.u-ryukyu.ac.jp , , , , , , JP

    Jyoichi Kaneko

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  1. Jyoichi Kaneko
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Kaneko, J. Forrester's Conjectured Constant Term Identity II. Annals of Combinatorics 6, 383–397 (2002). https://doi.org/10.1007/s000260200011

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