Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials

DOI10.1016/S0377-0427(00)00655-5zbMath0989.39007OpenAlexW2079938909MaRDI QIDQ5946607

Mama Foupouagnigni, André Ronveaux

Publication date: 1 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00655-5

zbMATH Keywords

\(q\)-difference equationco-recursive of \(q\)-classical orthogonal polynomialsforth-order

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13)

Related Items (4)

Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class. ⋮ On Factorization and Solutions ofq-difference Equations  Satisfied by some Classes of Orthogonal Polynomials ⋮ On Factorization and Solutions ofq-difference Equations  Satisfied by some Classes of Orthogonal Polynomials ⋮ Spectral transformation associated with a perturbed \(R_I\) type recurrence relation

Uses Software

• Maple

Cites Work

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• Some results on co-recursive associated Meixner and Charlier polynomials
• Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class.
• Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros
• Results on the associated classical orthogonal polynomials
• Upward extension of the Jacobi matrix for orthogonal polynomials
• Inversion problems in the \(q\)-Hahn tableau
• The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class
• On Co-Recursive Orthogonal Polynomials
• Some Results on Co-Recursive Associated Laguerre and Jacobi Polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable

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