Jacobi Polynomials Associated with Selberg Integrals

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1987 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 18, pages 545-549 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Aomoto, K.;

doi: 10.1137/0518042

Jacobi Polynomials Associated with Selberg Integrals

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Abstract

Selberg found a marvelous demonstration that \[ \int^{1}_{0}...\int^{1}_{0}\prod_{1\leq i

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Nagoya University
Japan

Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Virasoro algebra, Selberg's integral, Jacobi polynomials, beta integral, integral representation, Gamma, beta and polygamma functions, Combinatorial identities, bijective combinatorics

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