On zeros of polynomials orthogonal with respect to a quasi-definite inner product on the unit circle
type: Item
instance of: scholarly article
title: On zeros of polynomials orthogonal with respect to a quasi-definite inner product on the unit circle
zbMATH Open document ID: 0841.42010
DOI: 10.1007/BF02850838
publication date: 1995-09-04T00:00:00Z
review text: The authors study the zeros of polynomials which are orthogonal with respect to a quasi-definite linear functional on the unit circle. They consider general properties about the distribution of the zeros. They also examine the existence of sequences of orthogonal polynomials with prefixed zeros and finally they study the possibility of multiple zeros.
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 792945
zbMATH Keywords: Toeplitz matrices
zbMATH Keywords: quasi-definite linear functionals
zbMATH Keywords: zeros
zbMATH Keywords: orthogonal polynomials
author: Jesús María Montaner
author: María Pilar Alfaro
reviewed by: Roelof Koekoek
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02850838
OpenAlex ID: W1980319208
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 792945