Some characterizations of Dunkl-classical orthogonal polynomials

DOI10.1080/10236198.2014.906590zbMath1295.33012OpenAlexW1970219242MaRDI QIDQ5168670

Belgacem Bouras

Publication date: 18 July 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2014.906590

zbMATH Keywords

orthogonal polynomialsregular formsDunkl-classical polynomialssemiclassical polynomials

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)

Related Items (5)

A NOTE FOR THE DUNKL-CLASSICAL POLYNOMIALS ⋮ Second structure relation for the Dunkl-classical orthogonal polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Rodrigues formula and recurrence coefficients for non-symmetric Dunkl-classical orthogonal polynomials

Cites Work

• Unnamed Item
• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• Characterization of the Dunkl-classical symmetric orthogonal polynomials
• Variations around classical orthogonal polynomials. Connected problems
• A note on the Dunkl-classical orthogonal polynomials
• Integral Kernels with Reflection Group Invariance
• Generalized Gegenbauer orthogonal polynomials

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