Chain sequences and symmetric generalized orthogonal polynomials
type: Item
instance of: scholarly article
title: Chain sequences and symmetric generalized orthogonal polynomials
zbMATH Open document ID: 1006.33008
DOI: 10.1016/S0377-0427(01)00499-X
author: A. Sri Ranga
author: Cleonice F. Bracciali
author: Dimitar K. Dimitrov
published in: Journal of Computational and Applied Mathematics
publication date: 2002-08-22T00:00:00Z
review text: The authors consider a symmetric case (\(\alpha=\beta\)) of a version of the so-called Koornwinder polynomials, a generalisation of the Jacobi polynomials, with weight function \((1-x)^\alpha(1+x)^\beta+M\delta(x+1)+N\delta(x-1)\). An explicit expression is given for the parameter sequences of a chain sequence in terms of the corresponding orthogonal polynomials and their associated polynomials. Properties of the zeros of the polynomials are also given.
reviewed by: Nico M. Temme
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 40A15
zbMATH DE Number: 1787631
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: Jacobi polynomials
zbMATH Keywords: chain sequences
zbMATH Keywords: continued fractions
MaRDI profile type: Publication
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full work available at URL: s0377-0427(01)00499-x
OpenAlex ID: W1968727894
Wikidata QID: Q126758573
description: scientific article; zbMATH DE number 1787631