The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class
type: Item
instance of: scholarly article
title: The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class
zbMATH Open document ID: 0948.65140
published in: Journal of Symbolic Computation
publication date: 2000-06-07T00:00:00Z
review text: The authors present an algorithm which enables to write the general fourth-order difference equation satisfied by the associated orthogonal polynomials of any integer order of the \(\Delta\)-Laguerre-Hahn class, by using the \(D_\omega\)-Riccati difference equation satisfied by the Stieltjes function of a linear functional.
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1423191
zbMATH Keywords: fourth-order difference equation
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: \(\Delta\)-Laguerre-Hahn class
zbMATH Keywords: \(D_\omega\)-Riccati difference equation
author: M. Foupouagnigni
author: Mahouton Norbert Hounkonnou
author: A. Ronveaux
reviewed by: Costică Moroşanu
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: jsco.1998.0340
OpenAlex ID: W1998169372
cites work: Difference equation for associated polynomials on a linear lattice
cites work: On the associated orthogonal polynomials
cites work: Q3356637
cites work: Q4002478
cites work: Q4170993
cites work: Fourth-order difference equation for the associated classical discrete orthogonal polynomials
cites work: Representations of orthogonal polynomials
cites work: Q3708333
cites work: Fourth-order difference equation for the associated Meixner and Charlier polynomials
cites work: Results on the associated classical orthogonal polynomials
cites work: On the fourth-order difference equation for the associated Meixner polynomials
cites work: Q3326167
cites work: Q3997785
cites work: Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials
cites work: Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
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
DOI: 10.1006/JSCO.1998.0340
description: scientific article; zbMATH DE number 1423191