Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
Autor(a) principal: | |
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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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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 |
format |
article |
status_str |
publishedVersion |
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 |
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.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 instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
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 |
repository.mail.fl_str_mv |
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1799131529034596352 |