An algebraic interpretation of the multivariate \(q\)-Krawtchouk polynomials

DOI10.1007/s11139-016-9776-2zbMath1375.33031arXiv1508.07770OpenAlexW2963058294MaRDI QIDQ1676057

Luc Vinet, Vincent X. Genest, Sarah Post

Publication date: 3 November 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07770

zbMATH Keywords

\(q\)-oscillator algebra\(q\)-rotationsmultivariate \(q\)-Krawtchouk polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Hopf algebras and their applications (16T05)

Related Items (5)

An algebraic interpretation of the \(q\)-Meixner polynomials ⋮ Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions ⋮ SU q (3) corepresentations and bivariate q-Krawtchouk polynomials ⋮ Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials ⋮ Mehler-Heine type formulas for the Krawtchouk polynomials

Cites Work

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• Multivariable Orthogonal Polynomials and Coupling Coefficients for Discrete Series Representations
• Krawtchouk Polynomials, a Unification of Two Different Group Theoretic Interpretations
• The multivariate Charlier polynomials as matrix elements of the Euclidean group representation on oscillator states
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