New characterizations of classical orthogonal polynomials
type: Item
instance of: scholarly article
title: New characterizations of classical orthogonal polynomials
zbMATH Open document ID: 0861.33006
DOI: 10.1016/0019-3577(96)85090-7
author: Yanyan Li
published in: Indagationes Mathematicae. New Series
publication date: 1997-05-11T00:00:00Z
review text: The authors reconsider the classical orthogonal polynomials (i.e., Jacobi, Laguerre, Hermite and Bessel polynomials) and give some new characterizations of them. The results are expressed in the form of two theorems which claim that some statements are equivalent to each other. The statements are extensions of the well-known characterizations which claim that (i) the classical orthogonal polynomials satisfy a second order linear differential equation and (ii) their derivatives of any fixed order are also orthogonal. The paper includes also a method to construct the linear differential equation corresponding to any classical orthogonal polynomial system.
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 941339
zbMATH Keywords: classical orthogonal polynomials
reviewed by: Mithat Idemen
MaRDI profile type: Publication
full work available at URL: 0019-3577(96)85090-7
OpenAlex ID: W2020646084
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description: scientific article; zbMATH DE number 941339