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

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

2008-12-06

arxiv.org/abs/0812.1292v1

Mathematics

Classical Analysis and ODEs

31 pages

Scientific paper

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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