On semiclassical orthogonal polynomials via polynomial mappings

Detalhes bibliográficos
Autor(a) principal: Castilho, K.
Data de Publicação: 2016
Outros Autores: Jesus, M.N., Petronilho, J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.19/4037
Resumo: Orthogonal polynomials via polynomial mappings in the framework of the semiclassical class are considered. It is proved that this class is stable under polynomial transformations. Several consequences of this fact are deduced. As an application cubic transformations for semiclassical orthogonal polynomials of class at most 2 are analyzed, recovering and extending some results proved recently for class 1, and producing new examples of semiclassical orthogonal polynomials of classes 1 and 2.
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spelling On semiclassical orthogonal polynomials via polynomial mappingsorthogonal polynomialsclassical and semiclassical orthogonal polynomialspolynomial mappingsmoment linear functionals.Orthogonal polynomials via polynomial mappings in the framework of the semiclassical class are considered. It is proved that this class is stable under polynomial transformations. Several consequences of this fact are deduced. As an application cubic transformations for semiclassical orthogonal polynomials of class at most 2 are analyzed, recovering and extending some results proved recently for class 1, and producing new examples of semiclassical orthogonal polynomials of classes 1 and 2.Departamento de Matemática, Universidade de CoimbraRepositório Científico do Instituto Politécnico de ViseuCastilho, K.Jesus, M.N.Petronilho, J.2017-01-18T16:46:06Z2016-10-312016-10-31T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.19/4037engCastillo, K., Jesus, M., & Petronilho, J. (2016). On semiclassical orthogonal polynomials via polynomial mappings. Coimbra: Universidade de Coimbrametadata 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:RCAAP2023-01-16T15:26:59Zoai:repositorio.ipv.pt:10400.19/4037Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:42:45.143660Repositório 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 semiclassical orthogonal polynomials via polynomial mappings
title On semiclassical orthogonal polynomials via polynomial mappings
spellingShingle On semiclassical orthogonal polynomials via polynomial mappings
Castilho, K.
orthogonal polynomials
classical and semiclassical orthogonal polynomials
polynomial mappings
moment linear functionals.
title_short On semiclassical orthogonal polynomials via polynomial mappings
title_full On semiclassical orthogonal polynomials via polynomial mappings
title_fullStr On semiclassical orthogonal polynomials via polynomial mappings
title_full_unstemmed On semiclassical orthogonal polynomials via polynomial mappings
title_sort On semiclassical orthogonal polynomials via polynomial mappings
author Castilho, K.
author_facet Castilho, K.
Jesus, M.N.
Petronilho, J.
author_role author
author2 Jesus, M.N.
Petronilho, J.
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico de Viseu
dc.contributor.author.fl_str_mv Castilho, K.
Jesus, M.N.
Petronilho, J.
dc.subject.por.fl_str_mv orthogonal polynomials
classical and semiclassical orthogonal polynomials
polynomial mappings
moment linear functionals.
topic orthogonal polynomials
classical and semiclassical orthogonal polynomials
polynomial mappings
moment linear functionals.
description Orthogonal polynomials via polynomial mappings in the framework of the semiclassical class are considered. It is proved that this class is stable under polynomial transformations. Several consequences of this fact are deduced. As an application cubic transformations for semiclassical orthogonal polynomials of class at most 2 are analyzed, recovering and extending some results proved recently for class 1, and producing new examples of semiclassical orthogonal polynomials of classes 1 and 2.
publishDate 2016
dc.date.none.fl_str_mv 2016-10-31
2016-10-31T00:00:00Z
2017-01-18T16:46:06Z
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/10400.19/4037
url http://hdl.handle.net/10400.19/4037
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Castillo, K., Jesus, M., & Petronilho, J. (2016). On semiclassical orthogonal polynomials via polynomial mappings. Coimbra: Universidade de Coimbra
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Departamento de Matemática, Universidade de Coimbra
publisher.none.fl_str_mv Departamento de Matemática, Universidade de Coimbra
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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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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