A family of discrete semi-classical orthogonal polynomials of class one
type: Item
instance of: scholarly article
title: A family of discrete semi-classical orthogonal polynomials of class one
zbMATH Open document ID: 1399.42072
published in: Periodica Mathematica Hungarica
publication date: 2018-04-27T00:00:00Z
review text: The paper gives a detailed and complete description of \(D_{\omega}\)-semi-classical sequences \(\{S_n\}_{n\geq 0}\) of class \(s=1\), satisfying the three-term recurrence relation \[ S_{n+2}(x)=(x-(t_n-t_{n+1}))S_{n+1}(x)+t_n^2 S_n(x),\;n\geq 0;\;S_1(x)=x+t_0,\,S_0(x)=1, \] with \(t_n\not= 0,\;n\geq 0\).
reviewed by: Marcel G. de Bruin
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 6865419
zbMATH Keywords: difference operator
zbMATH Keywords: Laguerre-Freud equations
author: Mabrouk Sghaier
author: Mohamed Zaatra
MaRDI profile type: Publication
full work available at URL: s10998-017-0211-2
OpenAlex ID: W2742708672
cites work: The \(D_ \omega\)-classical orthogonal polynomials
cites work: Q4170993
cites work: Discrete semiclassical orthogonal polynomials of class one
cites work: Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one
cites work: Discrete semi-classical orthogonal polynominals
cites work: The symmetric \(D_{\omega}\)-semi-classical orthogonal polynomials of class one
cites work: Q4293855
cites work: Q4853625
cites work: Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
cites work: Discrete orthogonal polynomials – polynomial modification of a classical functional
DOI: 10.1007/S10998-017-0211-2
description: scientific article; zbMATH DE number 6865419