A note on semi-classical orthogonal polynomials
type: Item
instance of: scholarly article
title: A note on semi-classical orthogonal polynomials
zbMATH Open document ID: 0862.42018
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1997-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/119086
review text: The author studies the characterization of semi-classical monic orthogonal polynomial sequences (MOPS). Orthogonality is defined with respect to a linear functional on the linear space of polynomials with real coefficients and the main results are twofold: (1) full characterization of classical MOPS (correction on \textit{F. Marcellán, A. Branquinho} and \textit{J. Petronilho} [Acta Appl. Math. 34, No. 3, 283-303 (1994; Zbl 0793.33009)]), (2) proof that the characterization property, in the form given in the previous item, can not be exteded to semi-classical MOPS. A nicely written note.
reviewed by: Marcel G. de Bruin
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C55
zbMATH DE Number: 885625
zbMATH Keywords: semi-classical linear functionals
zbMATH Keywords: quasi-orthogonality
zbMATH Keywords: monic orthogonal polynomial sequences
author: A. Branquinho
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 885625