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Forrester's Conjectured Constant Term Identity II
Jyoichi Kaneko
Department of Mathematical Sciences, University of the Ryukyus, Nishihara, Okinawa 903-0213, Japan
kaneko@math.u-ryukyu.ac.jp
Annals of Combinatorics 6 (3) p.383-397 September, 2002
AMS Subject Classification: 33C60, 05A19
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 N1=2,3 of the conjecture have been verified in our previous paper [6]. We show the conjecture holds in the other extreme case . The proof is based on the integration formula of Jack polynomials and the Chu-Vandermonde formula for the generalized binomial coefficients.
Keywords: Morris constant term identity, Selberg integral, Jack polynomial, Chu-Vandermonde formula

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