Fourth-order difference equation for the associated classical discrete orthogonal polynomials

DOI10.1016/S0377-0427(98)00050-8zbMath0928.33006OpenAlexW2186919933MaRDI QIDQ1298503

Wolfram Koepf, Mama Foupouagnigni, André Ronveaux

Publication date: 18 January 2000

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(98)00050-8

zbMATH Keywords

discrete orthogonal polynomialsdifference equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (5)

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 \(\Delta\)-Laguerre-Hahn class ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class ⋮ Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials ⋮ On the numerical evaluation of linear recurrences

Cites Work

• Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros
• Difference equation for associated polynomials on a linear lattice
• Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials
• Results on the associated classical orthogonal polynomials
• Fourth-order difference equation for the associated Meixner and Charlier polynomials
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