A characterization of the classical orthogonal discrete and \(q\)-polynomials

DOI10.1016/j.cam.2006.01.031zbMath1108.33007OpenAlexW2034912751MaRDI QIDQ869523

Manuel Alfaro, Renato Álvarez-Nodarse

Publication date: 8 March 2007

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.2006.01.031

zbMATH Keywords

classical orthogonal polynomials\(q\)-polynomialsdiscrete orthogonal polynomialscharacterization theorems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (6)

A NOTE FOR THE DUNKL-CLASSICAL POLYNOMIALS ⋮ Recurrence relations for the moments of discrete semiclassical functionals of class s≤2 ⋮ \(q\)-classical orthogonal polynomials: A general difference calculus approach ⋮ Extensions of discrete classical orthogonal polynomials beyond the orthogonality ⋮ The complementary polynomials and the Rodrigues operator of classical orthogonal polynomials ⋮ Unnamed Item

Cites Work

• Über Polynomsysteme, die Sturm-Liouvilleschen Differenzengleichungen genügen
• Classical orthogonal polynomials: A functional approach
• A distributional study of discrete classical orthogonal polynomials
• On characterizations of classical polynomials
• On the solution of some distributional differential equations: existence and characterizations of the classical moment functionals
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• On the ``Favard theorem and its extensions
• On the \(q\)-polynomials: A distributional study
• \(q\)-classical polynomials and the \(q\)-Askey and Nikiforov-Uvarov tableaus

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