Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle

Detalhes bibliográficos
Autor(a) principal: Branquinho, A.
Data de Publicação: 2011
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/10400.6/9057
Resumo: Sequences of orthogonal polynomials on the unit circle whose Carath´eodory function satisfies a Riccati-type differential equation with polynomial coefficients are studied. We deduce discrete Lax equations which lead to difference equations for the corresponding sequences of reflection parameters, and we analyze the continuous differential equations that arise when deformations through a dependence on a parameter t occur.
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spelling Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circleOrthogonal polynomialsSequences of orthogonal polynomials on the unit circle whose Carath´eodory function satisfies a Riccati-type differential equation with polynomial coefficients are studied. We deduce discrete Lax equations which lead to difference equations for the corresponding sequences of reflection parameters, and we analyze the continuous differential equations that arise when deformations through a dependence on a parameter t occur.uBibliorumBranquinho, A.Rebocho, M. N.2020-02-06T11:13:53Z20112011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9057engA. Branquinho and M.N. Rebocho, Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle, Journal of Physics A: Mathematical and Theoretical 44 (46) (2011), 465204.metadata 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:RCAAP2023-12-15T09:49:33Zoai:ubibliorum.ubi.pt:10400.6/9057Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:15.857178Repositório 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 Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle
title Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle
spellingShingle Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle
Branquinho, A.
Orthogonal polynomials
title_short Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle
title_full Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle
title_fullStr Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle
title_full_unstemmed Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle
title_sort Difference and differential equations for deformed Laguerre-Hahn 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 Orthogonal polynomials
topic Orthogonal polynomials
description Sequences of orthogonal polynomials on the unit circle whose Carath´eodory function satisfies a Riccati-type differential equation with polynomial coefficients are studied. We deduce discrete Lax equations which lead to difference equations for the corresponding sequences of reflection parameters, and we analyze the continuous differential equations that arise when deformations through a dependence on a parameter t occur.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01T00:00:00Z
2020-02-06T11:13:53Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/9057
url http://hdl.handle.net/10400.6/9057
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv A. Branquinho and M.N. Rebocho, Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle, Journal of Physics A: Mathematical and Theoretical 44 (46) (2011), 465204.
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