Around operators not increasing the degree of polynomials

Detalhes bibliográficos
Autor(a) principal: Mesquita, Teresa A.
Data de Publicação: 2019
Outros Autores: Maroni, P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/20.500.11960/3085
Resumo: We present a generic operator J defined on the vectorial space of polynomial functions and we address the problem of finding the polynomial sequences that coincide with the (normalized) J-image of themselves. The technique developed assembles different types of operators and initiates with a transposition of the problem to the dual space. We provide examples for a J limited to three terms.
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spelling Around operators not increasing the degree of polynomialsClassical orthogonal polynomialsDifferential operatorsAppell polynomial sequencesTwo-orthogonal polynomialsWe present a generic operator J defined on the vectorial space of polynomial functions and we address the problem of finding the polynomial sequences that coincide with the (normalized) J-image of themselves. The technique developed assembles different types of operators and initiates with a transposition of the problem to the dual space. We provide examples for a J limited to three terms.2023-01-05T16:29:54Z2019-01-01T00:00:00Z20192022-12-01T16:00:14Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/20.500.11960/3085eng1065-24691476-829110.1080/10652469.2019.1573423metadata only accessinfo:eu-repo/semantics/openAccessMesquita, Teresa A.Maroni, P.reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-21T14:45:32Zoai:repositorio.ipvc.pt:20.500.11960/3085Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:44:57.098304Repositório 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 Around operators not increasing the degree of polynomials
title Around operators not increasing the degree of polynomials
spellingShingle Around operators not increasing the degree of polynomials
Mesquita, Teresa A.
Classical orthogonal polynomials
Differential operators
Appell polynomial sequences
Two-orthogonal polynomials
title_short Around operators not increasing the degree of polynomials
title_full Around operators not increasing the degree of polynomials
title_fullStr Around operators not increasing the degree of polynomials
title_full_unstemmed Around operators not increasing the degree of polynomials
title_sort Around operators not increasing the degree of polynomials
author Mesquita, Teresa A.
author_facet Mesquita, Teresa A.
Maroni, P.
author_role author
author2 Maroni, P.
author2_role author
dc.contributor.author.fl_str_mv Mesquita, Teresa A.
Maroni, P.
dc.subject.por.fl_str_mv Classical orthogonal polynomials
Differential operators
Appell polynomial sequences
Two-orthogonal polynomials
topic Classical orthogonal polynomials
Differential operators
Appell polynomial sequences
Two-orthogonal polynomials
description We present a generic operator J defined on the vectorial space of polynomial functions and we address the problem of finding the polynomial sequences that coincide with the (normalized) J-image of themselves. The technique developed assembles different types of operators and initiates with a transposition of the problem to the dual space. We provide examples for a J limited to three terms.
publishDate 2019
dc.date.none.fl_str_mv 2019-01-01T00:00:00Z
2019
2022-12-01T16:00:14Z
2023-01-05T16:29:54Z
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/20.500.11960/3085
url http://hdl.handle.net/20.500.11960/3085
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1065-2469
1476-8291
10.1080/10652469.2019.1573423
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