The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class

DOI10.1006/jsco.1998.0340zbMath0948.65140OpenAlexW1998169372MaRDI QIDQ1971739

André Ronveaux, Mama Foupouagnigni, Mahouton Norbert Hounkonnou

Publication date: 7 June 2000

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.1998.0340

zbMATH Keywords

orthogonal polynomialsfourth-order difference equation\(\Delta\)-Laguerre-Hahn class\(D_\omega\)-Riccati difference equation

Mathematics Subject Classification ID

Related Items (4)

Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class. ⋮ On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class ⋮ Characterization of the D w -Laguerre-Hahn Functionals

Uses Software

• Maple

Cites Work

• Fourth-order difference equation for the associated classical discrete orthogonal polynomials
• Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros
• On the fourth-order difference equation for the associated Meixner polynomials
• Difference equation for associated polynomials on a linear lattice
• Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials
• Representations of orthogonal polynomials
• Results on the associated classical orthogonal polynomials
• Fourth-order difference equation for the associated Meixner and Charlier polynomials
• On the associated orthogonal polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
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