On a 2-orthogonal polynomial sequence via quadratic decomposition
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/20.500.11960/3084 |
Resumo: | We apply a symbolic approach of the general quadratic decomposition of polynomial sequences— presented in a previous article referenced herein—to polynomial sequences fulfilling specific orthogonal conditions towards two given functionals u0, u1 belonging to the dual of the vector space of polynomials with coefficients in C. The general quadratic decomposition produces four new sets of polynomials whose properties are investigated with the help of the mentioned symbolic approach together with further commands which inquire relevant features, as for instance, the classical character of a polynomial sequence. The computational results are detailed for a wide range of choices of parameters and co-recursive type polynomial sequences are also explored. |
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On a 2-orthogonal polynomial sequence via quadratic decompositionQuadratic decompositiond-Orthogonal polynomialsd-Symmetric polynomialsSymbolic computationsWe apply a symbolic approach of the general quadratic decomposition of polynomial sequences— presented in a previous article referenced herein—to polynomial sequences fulfilling specific orthogonal conditions towards two given functionals u0, u1 belonging to the dual of the vector space of polynomials with coefficients in C. The general quadratic decomposition produces four new sets of polynomials whose properties are investigated with the help of the mentioned symbolic approach together with further commands which inquire relevant features, as for instance, the classical character of a polynomial sequence. The computational results are detailed for a wide range of choices of parameters and co-recursive type polynomial sequences are also explored.2023-01-05T15:41:55Z2020-01-01T00:00:00Z20202022-12-01T15:52:08Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/20.500.11960/3084eng16618289 1661827010.1007/s11786-020-00468-ymetadata 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:RCAAP2023-03-21T14:42:42Zoai:repositorio.ipvc.pt:20.500.11960/3084Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:44:28.692708Repositório 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 a 2-orthogonal polynomial sequence via quadratic decomposition |
title |
On a 2-orthogonal polynomial sequence via quadratic decomposition |
spellingShingle |
On a 2-orthogonal polynomial sequence via quadratic decomposition Mesquita, Teresa A. Quadratic decomposition d-Orthogonal polynomials d-Symmetric polynomials Symbolic computations |
title_short |
On a 2-orthogonal polynomial sequence via quadratic decomposition |
title_full |
On a 2-orthogonal polynomial sequence via quadratic decomposition |
title_fullStr |
On a 2-orthogonal polynomial sequence via quadratic decomposition |
title_full_unstemmed |
On a 2-orthogonal polynomial sequence via quadratic decomposition |
title_sort |
On a 2-orthogonal polynomial sequence via quadratic decomposition |
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 |
Quadratic decomposition d-Orthogonal polynomials d-Symmetric polynomials Symbolic computations |
topic |
Quadratic decomposition d-Orthogonal polynomials d-Symmetric polynomials Symbolic computations |
description |
We apply a symbolic approach of the general quadratic decomposition of polynomial sequences— presented in a previous article referenced herein—to polynomial sequences fulfilling specific orthogonal conditions towards two given functionals u0, u1 belonging to the dual of the vector space of polynomials with coefficients in C. The general quadratic decomposition produces four new sets of polynomials whose properties are investigated with the help of the mentioned symbolic approach together with further commands which inquire relevant features, as for instance, the classical character of a polynomial sequence. The computational results are detailed for a wide range of choices of parameters and co-recursive type polynomial sequences are also explored. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-01-01T00:00:00Z 2020 2022-12-01T15:52:08Z 2023-01-05T15:41:55Z |
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/20.500.11960/3084 |
url |
http://hdl.handle.net/20.500.11960/3084 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
16618289 16618270 10.1007/s11786-020-00468-y |
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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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 |
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1799131530005577728 |