The multivariate Charlier polynomials as matrix elements of the Euclidean group representation on oscillator states

DOI10.1088/1751-8113/47/21/215204zbMath1296.33025arXiv1401.7901OpenAlexW2152245184MaRDI QIDQ4979909

Vincent X. Genest, Hiroshi Miki, Luc Vinet, Alexei Zhedanov

Publication date: 19 June 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7901

zbMATH Keywords

multivariate orthogonal polynomialsLie group representationEuclidean groupstandard Charlier polynomial

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

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