Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation

Detalhes bibliográficos
Autor(a) principal: Mesquita, Teresa A.
Data de Publicação: 2022
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/20.500.11960/3125
Resumo: In a recent work, a generic differential operator on the vectorial space of polynomial functions was presented and applied in the study of differential relations fulfilled by polynomial sequences either orthogonal or 2-orthogonal. Considering a third order differential operator that does not increase the degree of polynomials, we search for polynomial eigenfunctions with the help of symbolic computations, assuming that those polynomials constitute a 2-orthogonal polynomial sequence. Two examples are extensively described.
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spelling Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equationd-Orthogonal polynomialsDifferential operatorsSymbolic computationsIn a recent work, a generic differential operator on the vectorial space of polynomial functions was presented and applied in the study of differential relations fulfilled by polynomial sequences either orthogonal or 2-orthogonal. Considering a third order differential operator that does not increase the degree of polynomials, we search for polynomial eigenfunctions with the help of symbolic computations, assuming that those polynomials constitute a 2-orthogonal polynomial sequence. Two examples are extensively described.2023-01-17T18:03:24Z2022-01-01T00:00:00Z20222022-12-01T15:45:02Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/20.500.11960/3125eng1661-82701661-828910.1007/s11786-022-00525-8metadata only accessinfo:eu-repo/semantics/openAccessMesquita, Teresa A.reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-21T14:41:54Zoai:repositorio.ipvc.pt:20.500.11960/3125Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:44:22.633409Repositório 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 Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
title Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
spellingShingle Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
Mesquita, Teresa A.
d-Orthogonal polynomials
Differential operators
Symbolic computations
title_short Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
title_full Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
title_fullStr Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
title_full_unstemmed Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
title_sort Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
author Mesquita, Teresa A.
author_facet Mesquita, Teresa A.
author_role author
dc.contributor.author.fl_str_mv Mesquita, Teresa A.
dc.subject.por.fl_str_mv d-Orthogonal polynomials
Differential operators
Symbolic computations
topic d-Orthogonal polynomials
Differential operators
Symbolic computations
description In a recent work, a generic differential operator on the vectorial space of polynomial functions was presented and applied in the study of differential relations fulfilled by polynomial sequences either orthogonal or 2-orthogonal. Considering a third order differential operator that does not increase the degree of polynomials, we search for polynomial eigenfunctions with the help of symbolic computations, assuming that those polynomials constitute a 2-orthogonal polynomial sequence. Two examples are extensively described.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01T00:00:00Z
2022
2022-12-01T15:45:02Z
2023-01-17T18:03:24Z
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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dc.identifier.uri.fl_str_mv http://hdl.handle.net/20.500.11960/3125
url http://hdl.handle.net/20.500.11960/3125
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1661-8270
1661-8289
10.1007/s11786-022-00525-8
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