A NOTE FOR THE DUNKL-CLASSICAL POLYNOMIALS

DOI10.15393/j3.art.2022.11310OpenAlexW4283073289MaRDI QIDQ5052952

Belgacem Bouras, Y. Habbachi

Publication date: 25 November 2022

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa350

zbMATH Keywords

orthogonal polynomialsDunkl operatorDunkl-classical 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 (1)

Second structure relation for the Dunkl-classical orthogonal polynomials

Cites Work

• 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 \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• A characterization of the classical orthogonal discrete and \(q\)-polynomials
• Characterization of the Dunkl-classical symmetric orthogonal polynomials
• A new characterization of the generalized Hermite linear form
• Variations around classical orthogonal polynomials. Connected problems
• Classical orthogonal polynomials: A functional approach
• A note on the Dunkl-classical orthogonal polynomials
• Integral Kernels with Reflection Group Invariance
• Symmetric laguerre-hahn forms of classs=1
• Classification of nonsymmetric Dunkl-classical orthogonal polynomials
• Some characterizations of Dunkl-classical orthogonal polynomials
• Generalized Gegenbauer orthogonal polynomials
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