On differential equations for orthogonal polynomials on the unit circle

Detalhes bibliográficos
Autor(a) principal: Branquinho, A.
Data de Publicação: 2009
Outros Autores: Rebocho, M. N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/9008
Resumo: In this paper we characterize sequences of orthogonal polynomials on the unit circle whose corresponding Carathéodory function satisfies a Riccati differential equation with polynomial coefficients, in terms of second order matrix differential equations.
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spelling On differential equations for orthogonal polynomials on the unit circleCarathéodory functionOrthogonal polynomials on the unit circleRiccati differential equationsSemi-classical functionalsMeasures on the unit circleIn this paper we characterize sequences of orthogonal polynomials on the unit circle whose corresponding Carathéodory function satisfies a Riccati differential equation with polynomial coefficients, in terms of second order matrix differential equations.uBibliorumBranquinho, A.Rebocho, M. N.2020-02-04T16:37:53Z20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9008engA. Branquinho and M.N. Rebocho, On differential equations for orthogonal polynomials on the unit circle, Journal of Mathematical Analysis and Applications 356 (1) (2009), 242-256.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:49:33Zoai:ubibliorum.ubi.pt:10400.6/9008Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:15.987341Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On differential equations for orthogonal polynomials on the unit circle
title On differential equations for orthogonal polynomials on the unit circle
spellingShingle On differential equations for orthogonal polynomials on the unit circle
Branquinho, A.
Carathéodory function
Orthogonal polynomials on the unit circle
Riccati differential equations
Semi-classical functionals
Measures on the unit circle
title_short On differential equations for orthogonal polynomials on the unit circle
title_full On differential equations for orthogonal polynomials on the unit circle
title_fullStr On differential equations for orthogonal polynomials on the unit circle
title_full_unstemmed On differential equations for orthogonal polynomials on the unit circle
title_sort On differential equations for orthogonal polynomials on the unit circle
author Branquinho, A.
author_facet Branquinho, A.
Rebocho, M. N.
author_role author
author2 Rebocho, M. N.
author2_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Branquinho, A.
Rebocho, M. N.
dc.subject.por.fl_str_mv Carathéodory function
Orthogonal polynomials on the unit circle
Riccati differential equations
Semi-classical functionals
Measures on the unit circle
topic Carathéodory function
Orthogonal polynomials on the unit circle
Riccati differential equations
Semi-classical functionals
Measures on the unit circle
description In this paper we characterize sequences of orthogonal polynomials on the unit circle whose corresponding Carathéodory function satisfies a Riccati differential equation with polynomial coefficients, in terms of second order matrix differential equations.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
2020-02-04T16:37:53Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/9008
url http://hdl.handle.net/10400.6/9008
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv A. Branquinho and M.N. Rebocho, On differential equations for orthogonal polynomials on the unit circle, Journal of Mathematical Analysis and Applications 356 (1) (2009), 242-256.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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