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Hermitian Symmetric Spaces of Tube Type and Multivariate Meixner-Pollaczek Polynomials

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arxiv 0812.1292 v2 pith:2D5DJGBN submitted 2008-12-06 math.CA math.RT

Jacques Faraut , Masato Wakayama This is my paper · ORCID
classification math.CAmath.RT
keywords multivariatesymmetrictypehermitianmeixner-pollaczekpolynomialsspacestube
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abstract

Harmonic analysis on Hermitian symmetric spaces of tube type is a natural framework for introducing multivariate Meixner-Pollaczek polynomials. Their main properties are established in this setting: generating and determinantal formulae, difference equations. As an application we consider the problem of evaluating moments related to a multivariate Barnes type integral involving the Harish-Chandra $c$-function of a symmetric cone.

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Cited by 1 Pith paper

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  1. Superintegrability of the Wilson family of matrix models and moments of multivariable orthogonal polynomials

    math-ph 2024-12 conditional novelty 6.0 of 10

    New superintegrability formulas are proposed for eigenvalue models built on multivariate Meixner-Pollaczek and Wilson measures, with the Wilson case left partly conjectural.

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