A two-parameter family of orthogonal polynomials with respect to Jacobi-type weight on the unit circle
type: Item
instance of: scholarly article
title: A two-parameter family of orthogonal polynomials with respect to Jacobi-type weight on the unit circle
zbMATH Open document ID: 0947.33006
author: Christer Glader
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-03-19T00:00:00Z
review text: A family of orthogonal polynomials on the unit circle associated with a weight of Jacobi type was studied. Recursion formulas, explicit representations, some algebraic properties and norm properties are given. An explicit connection to the Jacobi polynomials was established using the Szegő theory for orthogonal polynomials on the unit circle. Identities holding for Jacbi polynomials were used to obtain identities for the polynomials on the unit circle. Asymptotic properties, orthogonal expansion, or norm estimates on arcs of the unit circle were not considered.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 1417583
zbMATH Keywords: approximation by polynomials
zbMATH Keywords: orthogonal polynomials
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6621
OpenAlex ID: W2028723509
cites work: Q4307521
cites work: Q3671491
DOI: 10.1006/JMAA.1999.6621
description: scientific article; zbMATH DE number 1417583