Jordan algebras and orthogonal polynomials

DOI10.1063/1.3653482zbMath1272.17031arXiv1108.3531OpenAlexW3105310942MaRDI QIDQ2851736

Luc Vinet, Alexei Zhedanov, Satoshi Tsujimoto

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3531

zbMATH Keywords

first order operator of Dunkl type

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Jordan structures associated with other structures (17C50)

Related Items (5)

An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type ⋮ The algebra of dual −1 Hahn polynomials and the Clebsch-Gordan problem of sl−1(2) ⋮ The Bannai-Ito polynomials as Racah coefficients of the $sl_{-1}(2)$ algebra ⋮ Cat-states in the framework of Wigner-Heisenberg algebra ⋮ Dunkl shift operators and Bannai-Ito polynomials

Cites Work

• Unnamed Item
• A Bochner theorem for Dunkl polynomials
• A recurrence relation approach to higher order quantum superintegrability
• ``Hidden symmetry of Askey-Wilson polynomials
• Rational spectral transformations and orthogonal polynomials
• Lie theory and special functions
• A ‘missing’ family of classical orthogonal polynomials
• Supersymmetric quantum mechanics with reflections
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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