Para-Bannai-Ito polynomials

DOI10.3842/sigma.2023.090arXiv2209.10725OpenAlexW4388571341MaRDI QIDQ6063062

Luc Vinet, Jonathan Pelletier, Alexei Zhedanov

Publication date: 2 December 2023

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.10725

zbMATH Keywords

para-orthogonal polynomialsDunkl operatorsBannai-Ito polynomials

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Other special orthogonal polynomials and functions (33C47) Linear difference operators (47B39) Functional-differential and differential-difference operators (47E07)

Cites Work

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• The para-Racah polynomials
• Bispectrality of the complementary Bannai-Itō polynomials
• Dunkl shift operators and Bannai-Ito polynomials
• Rational spectral transformations and orthogonal polynomials
• A \(q\)-generalization of the para-Racah polynomials
• Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials
• An analytic spin chain model with fractional revival
• A limit $q=-1$ for the big $q$-Jacobi polynomials
• Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer
• A ‘missing’ family of classical orthogonal polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Orthogonal Polynomials, Duality and Association Schemes
• Degenerations of Sklyanin algebra and Askey-Wilson polynomials
• Dual $-1$ Hahn polynomials: “Classical” polynomials beyond the Leonard duality
• Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials
• ORTHOGONAL POLYNOMIALS SATISFYING Q-DIFFERENCE EQUATIONS
• Degenerate Sklyanin algebras, Askey–Wilson polynomials and Heun operators
• The rational Sklyanin algebra and the Wilson and para-Racah polynomials

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