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

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 .
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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