\(q\)-rotations and Krawtchouk polynomials

DOI10.1007/s11139-015-9681-0zbMath1339.33020arXiv1408.5292OpenAlexW3100649705MaRDI QIDQ282997

Luc Vinet, Vincent X. Genest, Guo-Fu Yu, Sarah Post, Alexei Zhedanov

Publication date: 13 May 2016

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

Full work available at URL: https://arxiv.org/abs/1408.5292

zbMATH Keywords

\(q\)-Krawtchouk polynomials\(q\)-oscillator algebra\(\mathcal{U}_{q}(\mathrm{sl}_{2})\) algebra

Mathematics Subject Classification ID

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

Related Items

An algebraic interpretation of the \(q\)-Meixner polynomials, An algebraic interpretation of the multivariate \(q\)-Krawtchouk polynomials, Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions, Orthogonal polynomial duality and unitary symmetries of multi-species ASEP \((q,\boldsymbol{\theta})\) and higher-spin vertex models via \(^*\)-bialgebra structure of higher rank quantum groups, SU q (3) corepresentations and bivariate q-Krawtchouk polynomials, Mehler-Heine type formulas for the Krawtchouk polynomials

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