Some limit relations in the \(A_{1}\) tableau of Dunkl-Cherednik operators

DOI10.1016/S0019-3577(03)90047-4zbMath1046.33013MaRDI QIDQ1432893

Renato Álvarez-Nodarse

Publication date: 22 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

root systems\(q\)-polynomialsbasic hypergeometric seriesDunkl-Cherednik operators

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) Basic hypergeometric functions associated with root systems (33D67) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Hypergeometric functions associated with root systems (33C67)

Cites Work

• Generalized Hermite polynomials and the heat equation for Dunkl operators
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Affine Hecke Algebras and Their Graded Version
• On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
• Introduction to Lie Algebras and Representation Theory
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