A characterization of symmetricTμ-classical monic orthogonal polynomials by a structure relation

DOI10.1080/10652469.2013.870339zbMath1291.42020OpenAlexW2035948520MaRDI QIDQ5404150

Imed Ben Salah, Abdallah Ghressi, Lotfi Khériji

Publication date: 21 March 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.870339

zbMATH Keywords

orthogonal polynomialsDunkl operatorsemiclassical polynomials\(T_\mu\)-classical form

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 (9)

BESSEL POLYNOMIALS AND SOME CONNECTION FORMULAS IN TERMS OF THE ACTION OF LINEAR DIFFERENTIAL OPERATORS ⋮ Basic theory of finite-type relations between orthogonal polynomial sequences ⋮ On the extended connection coefficients between two orthogonal polynomial sequences ⋮ Second structure relation for the Dunkl-classical orthogonal polynomials ⋮ Jacobi polynomials and some connection formulas in terms of the action of linear differential operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ HAHN'S PROBLEM WITH RESPECT TO SOME PERTURBATIONS OF THE RAISING OPERATOR \(X-c\) ⋮ Characterization of \(q\)-Dunkl-classical symmetric orthogonal \(q\)-polynomials

Cites Work

• Unnamed Item
• Variations around classical orthogonal polynomials. Connected problems
• The \(H_q\)-classical orthogonal polynomials
• A note on the Dunkl-classical orthogonal polynomials
• Symmetric laguerre-hahn forms of classs=1
• Another Characterization of the Classical Orthogonal Polynomials
• Generalized Gegenbauer orthogonal polynomials

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