Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class.

DOI10.1016/S0377-0427(02)00636-2zbMath1039.39009MaRDI QIDQ1874158

André Ronveaux, Mama Foupouagnigni

Publication date: 22 May 2003

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

zbMATH Keywords

orthogonal polynomials\(q\)-difference operator\(D_q\)-Laguerre-Hahn classRiccati \(q\)-difference equations

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class ⋮ Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Co-recursive orthogonal polynomials and fourth-order differential equation
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable on the lattice \(x(s)=q^{2s}\)
• On the linearization problem involving Pochhammer symbols and their \(q\)-analogues
• Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials
• Some results on co-recursive associated Meixner and Charlier polynomials
• Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros
• The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class
• Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials
• 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
• Recurrence relations for connection coefficients betweenQ-orthogonal polynomials of discrete variables in the non-uniform lattice
• 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

This page was built for publication: Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class.