On Factorization and Solutions ofq-difference Equations Satisfied by some Classes of Orthogonal Polynomials

DOI10.1080/10236190310001641218zbMath1147.33301OpenAlexW2084613307MaRDI QIDQ4822513

André Ronveaux, Wolfram Koepf, Mama Foupouagnigni

Publication date: 25 October 2004

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190310001641218

zbMATH Keywords

functions of the second kindassociated orthogonal polynomials\(q\)-classical orthogonal polynomialsperturbed orthogonal polynomialssecond and fourth-order \(q\)-difference equations

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) Difference equations, scaling ((q)-differences) (39A13)

Uses Software

• Maple

Cites Work

• On orthogonal polynomials with perturbed recurrence relations
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• Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class.
• On classical orthogonal polynomials
• Upward extension of the Jacobi matrix for orthogonal polynomials
• The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class
• The Associated Ultraspherical Polynomials and their _q-Analogues
• On theq-polynomials in the exponential latticex(s)=c₁q^s+c₃
• The theory of difference analogues of special functions of hypergeometric type
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• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials
• On the \(q\)-polynomials: A distributional study
• \(q\)-classical polynomials and the \(q\)-Askey and Nikiforov-Uvarov tableaus
• Unnamed Item

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