\(q\)-rotations and Krawtchouk polynomials
type: Item
instance of: scholarly article
title: \(q\)-rotations and Krawtchouk polynomials
zbMATH Open document ID: 1339.33020
author: Vincent X. Genest
author: S. Post
author: Luc Vinet
author: Guo-Fu Yu
author: Alexei Zhedanov
published in: The Ramanujan Journal
publication date: 2016-05-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1408.5292
Mathematics Subject Classification ID: 33D45
Mathematics Subject Classification ID: 16T05
zbMATH DE Number: 6580113
zbMATH Keywords: \(q\)-Krawtchouk polynomials
zbMATH Keywords: \(\mathcal{U}_{q}(\mathrm{sl}_{2})\) algebra
zbMATH Keywords: \(q\)-oscillator algebra
MaRDI profile type: Publication
OpenAlex ID: W3100649705
arXiv ID: 1408.5292
cites work: The quantum algebraUq(su2) andq-Krawtchouk families of polynomials
cites work: The quantum group SUq(2) and a q-analogue of the boson operators
cites work: Association schemes and t-designs in regular semilattices
cites work: Properties and Applications of the Recurrence $F( {i + 1,k + 1,n + 1} ) = q^{k + 1} F( {i,k + 1,n} ) - q^k F( {i,k,n} )$
cites work: An addition theorem for some q-Hahn polynomials
cites work: On the quantum group and quantum algebra approach to \(q\)-special functions
cites work: Q4828543
cites work: Some systems of multivariable orthogonal \(q\)-Racah polynomials
cites work: The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states
cites work: Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials
cites work: Bispectrality of multivariable Racah-Wilson polynomials
cites work: Q4765335
cites work: Orthogonal Polynomials on the Multinomial Distribution
cites work: Bispectral commuting difference operators for multivariable Askey-Wilson polynomials
cites work: Models of q-algebra representations: Matrix elements of the q-oscillator algebra
cites work: Hypergeometric Orthogonal Polynomials and Their q-Analogues
cites work: 𝑞-Krawtchouk polynomials as spherical functions on the Hecke algebra of type 𝐵
cites work: Q4729999
cites work: Q4308013
cites work: The quantum \(q\)-Krawtchouk and \(q\)-Meixner polynomials and their related \(D\)-functions for the quantum groups \(SU_{q}\)(2) and \(SU_{q}\)(1,1).
cites work: A partially ordered set and q-Krawtchouk polynomials
cites work: Q3699921
cites work: Some multivariable orthogonal polynomials of the Askey tableau-discrete families
cites work: Q4002496
cites work: Q rotations and other Q transformations as unitary nonlinear automorphisms of quantum algebras
DOI: 10.1007/S11139-015-9681-0
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description: scientific article