A characterization of Dunkl-classical \(d\)-symmetric \(d\)-orthogonal polynomials and its applications

DOI10.1016/j.cam.2011.03.025zbMath1233.33003OpenAlexW1987904670MaRDI QIDQ645683

Youssèf Ben Cheikh, Mohamed Gaied

Publication date: 10 November 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.03.025

zbMATH Keywords

Dunkl operatorHumbert polynomials\(d\)-orthogonal polynomialsGould-Hopper polynomials\(d\)-symmetric polynomialsclassical \(d\)-orthogonal 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)

L-classical d-orthogonal polynomial sets of Sheffer type ⋮ On \(d\)-orthogonal polynomials with Brenke type generating functions ⋮ On \(m\)-symmetric \(d\)-orthogonal polynomials ⋮ On some operators varying the dimensional parameters of d-orthogonality ⋮ Some new d-orthogonal polynomial sets of Sheffer type

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