On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations

Detalhes bibliográficos
Autor(a) principal: Rebocho, M. N.
Data de Publicação: 2016
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/9059
Resumo: In this paper are derived recurrences for the reflection coefficients of Laguerre–Hahn affine orthogonal polynomials on the unit circle, including a form of the discrete Painlevé equations dPV . The technique is based on the knowledge of the first-order differential equation for the Carathéodory function, combined with a reinterpretation, in the formalism of matrix Sylvester equations, of compatibility conditions for the differential systems satisfied by the polynomials.
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spelling On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equationsHermitian linear functionalsOPUCLaguerre–Hahn affine classSylvester equationsdiscrete Painlevé equationsIn this paper are derived recurrences for the reflection coefficients of Laguerre–Hahn affine orthogonal polynomials on the unit circle, including a form of the discrete Painlevé equations dPV . The technique is based on the knowledge of the first-order differential equation for the Carathéodory function, combined with a reinterpretation, in the formalism of matrix Sylvester equations, of compatibility conditions for the differential systems satisfied by the polynomials.uBibliorumRebocho, M. N.2020-02-06T11:17:17Z20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9059engM.N. Rebocho, On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations, Integral Transforms and Special Functions 27, no.2 (2016) 78-93.10.1080/10652469.2015.1092969metadata only accessinfo: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:RCAAP2023-12-15T09:49:31Zoai:ubibliorum.ubi.pt:10400.6/9059Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:15.511523Repositório 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 Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
title On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
spellingShingle On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
Rebocho, M. N.
Hermitian linear functionals
OPUC
Laguerre–Hahn affine class
Sylvester equations
discrete Painlevé equations
title_short On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
title_full On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
title_fullStr On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
title_full_unstemmed On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
title_sort On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
author Rebocho, M. N.
author_facet Rebocho, M. N.
author_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Rebocho, M. N.
dc.subject.por.fl_str_mv Hermitian linear functionals
OPUC
Laguerre–Hahn affine class
Sylvester equations
discrete Painlevé equations
topic Hermitian linear functionals
OPUC
Laguerre–Hahn affine class
Sylvester equations
discrete Painlevé equations
description In this paper are derived recurrences for the reflection coefficients of Laguerre–Hahn affine orthogonal polynomials on the unit circle, including a form of the discrete Painlevé equations dPV . The technique is based on the knowledge of the first-order differential equation for the Carathéodory function, combined with a reinterpretation, in the formalism of matrix Sylvester equations, of compatibility conditions for the differential systems satisfied by the polynomials.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
2020-02-06T11:17:17Z
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/10400.6/9059
url http://hdl.handle.net/10400.6/9059
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv M.N. Rebocho, On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations, Integral Transforms and Special Functions 27, no.2 (2016) 78-93.
10.1080/10652469.2015.1092969
dc.rights.driver.fl_str_mv metadata only access
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rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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