Bannai-Ito polynomials and dressing chains

DOI10.1090/S0002-9939-2014-12165-4zbMath1304.42063arXiv1211.1963MaRDI QIDQ2930629

Alexei Zhedanov, Maxim Derevyagin, Luc Vinet, Satoshi Tsujimoto

Publication date: 19 November 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1963

zbMATH Keywords

orthogonal polynomialsDarboux transformationsBannai-Ito polynomialsdressing chainsquadratic algebras.Schur-Delsarte-Genin map

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Applications of Lie algebras and superalgebras to integrable systems (17B80) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (5)

Difference equations related to Jacobi-type pencils ⋮ On the relation between Darboux transformations and polynomial mappings ⋮ Biorthogonal rational functions of $R_{II}$-type ⋮ Orthogonal polynomials associated with some Jacobi-type pencils ⋮ Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle

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