Hahn polynomials on polyhedra and quantum integrability

DOI10.1016/j.aim.2020.107032zbMath1448.33012arXiv1707.03843OpenAlexW2735346123MaRDI QIDQ2302242

Yuan Xu, Plamen Iliev

Publication date: 25 February 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.03843

zbMATH Keywords

polyhedrondifference operatorsharmonic oscillatorquantum integrable systemsHahn polynomialshypergeometric distribution

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Groups and algebras in quantum theory and relations with integrable systems (81R12) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (8)

The Racah algebra: An overview and recent results ⋮ Hahn polynomials for hypergeometric distribution ⋮ Gaudin model for the multinomial distribution ⋮ Representations of the rank two Racah algebra and orthogonal multivariate polynomials ⋮ Spectral analysis of an open \(q\)-difference Toda chain with two-sided boundary interactions on the finite integer lattice ⋮ Racah problems for the oscillator algebra, the Lie algebra \(\mathfrak{sl}_n\), and multivariate Krawtchouk polynomials ⋮ Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials ⋮ The q‐Bannai–Ito algebra and multivariate (−q)‐Racah and Bannai–Ito polynomials

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