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

DOI10.1016/S0377-0427(98)00015-6zbMath0906.33003OpenAlexW2157480491MaRDI QIDQ1392781

A. Zarzo, André Ronveaux, Eduardo Paciência Godoy, IvÁn Area

Publication date: 22 February 1999

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)00015-6

zbMATH Keywords

difference equationHahn polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Additive difference equations (39A10)

Related Items (7)

On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions ⋮ Fourth-order difference equation for the associated Meixner and Charlier polynomials ⋮ Hypergeometric-type differential equations: second kind solutions and related integrals. ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class ⋮ Fourth-order difference equation for the associated classical discrete orthogonal polynomials ⋮ Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials ⋮ On the numerical evaluation of linear recurrences

Cites Work

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• Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• 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
• Recurrence relations for connection coefficients between two families of orthogonal polynomials
• Fourth-order difference equation for the associated Meixner and Charlier polynomials
• Fourth-order differential equations for numerator polynomials
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable

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