Asymptotic properties of orthogonal polynomials from their recurrence formula. I
type: Item
instance of: scholarly article
title: Asymptotic properties of orthogonal polynomials from their recurrence formula. I
zbMATH Open document ID: 0583.42011
DOI: 10.1016/0021-9045(85)90097-8
author: Walter Van Assche
published in: Journal of Approximation Theory
publication date: 1985-01-01T00:00:00Z
review text: In this paper it is supposed that the coefficients in the recurrence formula for orthogonal polynomials have finite limits as the index goes to infinity over the set of even and odd integers. The asymptotic behavior of the ratio of two contiguous polynomials and the limiting zero distribution are discussed. Applications to quadrature formulas are given.
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 3933718
zbMATH Keywords: recurrence formula for orthogonal polynomials
zbMATH Keywords: quadrature formulas
MaRDI profile type: Publication
full work available at URL: 0021-9045(85)90097-8
OpenAlex ID: W4205941956
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description: scientific article; zbMATH DE number 3933718