Multivariate Meixner polynomials related to holomorphic discrete series representations of \(\operatorname{SU} ( 1 , d )\)

DOI10.1016/j.indag.2024.04.010MaRDI QIDQ6663163

Joop Vermeulen, W. G. M. Groenevelt

Publication date: 14 January 2025

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsmultivariate Meixner polynomialsholomorphic discrete series

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• Meixner polynomials in several variables satisfying bispectral difference equations
• Discrete orthogonal polynomials and difference equations of several variables
• Orthogonal polynomials on the negative multinomial distribution
• The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states
• A Lie-theoretic interpretation of multivariate hypergeometric polynomials
• A superintegrable discrete oscillator and two-variable Meixner polynomials
• Spaces of Holomorphic Functions in the Unit Ball
• Orthogonale Polynomsysteme Mit Einer Besonderen Gestalt Der Erzeugenden Funktion
• The multivariate Meixner polynomials as matrix elements ofSO(d, 1) representations on oscillator states
• Orthogonal Polynomials on the Multinomial Distribution

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