A bispectral q-hypergeometric basis for a class of quantum integrable models
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Publication:3134113
DOI10.1063/1.5020870zbMath1384.81044arXiv1506.06902OpenAlexW2963152005MaRDI QIDQ3134113
Xavier Martin, Pascal Baseilhac
Publication date: 8 February 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06902
Askey-Wilson polynomials\(q\)-Onsager algebramultivariable Krawtchouk polynomialstridiagonal pairs\(q\)-Dolan-Grady hierarchyGasper-Rahman polynomials
Groups and algebras in quantum theory and relations with integrable systems (81R12) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Other basic hypergeometric functions and integrals in several variables (33D70) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)
Related Items
Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials, Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials, The higher rank \(q\)-deformed Bannai-Ito and Askey-Wilson algebra, The q‐Bannai–Ito algebra and multivariate (−q)‐Racah and Bannai–Ito polynomials, The Askey–Wilson algebra and its avatars
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