On Askey-scheme and \(d\)-orthogonality. I: A characterization theorem

DOI10.1016/j.cam.2009.02.029zbMath1188.33018OpenAlexW1982446809MaRDI QIDQ1035605

Imed Lamiri, Abdelwaheb Ouni, Youssèf Ben Cheikh

Publication date: 4 November 2009

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.2009.02.029

zbMATH Keywords

Humbert polynomials\(d\)-orthogonalityAskey-schemegeneralized hypergeometric polynomialsGould-Hooper polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Other special orthogonal polynomials and functions (33C47)

Related Items (16)

\(d\)-orthogonality and \(q\)-Askey-scheme ⋮ On Especial Cases of Boas-Buck-Type Polynomial Sequences ⋮ L-classical d-orthogonal polynomial sets of Sheffer type ⋮ \(d\)-orthogonality of discrete \(q\)-Hermite type polynomials ⋮ \(d\)-orthogonality of a generalization of both Laguerre and Hermite polynomials ⋮ On a class of polynomial sets generated by F(xt−R(t)) ⋮ A characterization of Dunkl-classical \(d\)-symmetric \(d\)-orthogonal polynomials and its applications ⋮ \(d\)-orthogonality of little \(q\)-Laguerre type polynomials ⋮ On \(d\)-symmetric classical \(d\)-orthogonal polynomials ⋮ On semi‐classical d‐orthogonal polynomials ⋮ On multiple Appell polynomials ⋮ Discrete Hahn-classicald-orthogonal polynomials ⋮ Limit relations involving 2-orthogonal polynomials ⋮ Asymptotic relations involving \(d\)-orthogonal polynomials ⋮ The Kontorovich-Lebedev Transform as a Map betweend-Orthogonal Polynomials ⋮ Some new d-orthogonal polynomial sets of Sheffer type

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