A unified matrix approach to the representation of Appell polynomials

Detalhes bibliográficos
Autor(a) principal: Aceto, L.
Data de Publicação: 2015
Outros Autores: Malonek, H. R., Tomaz, G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15214
Resumo: In this paper, we propose a unified approach to matrix representations of different types of Appell polynomials. This approach is based on the creation matrix – a special matrix which has only the natural numbers as entries and is closely related to the well-known Pascal matrix. By this means, we stress the arithmetical origins of Appell polynomials. The approach also allows to derive, in a simplified way, the properties of Appell polynomials by using only matrix operations.
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spelling A unified matrix approach to the representation of Appell polynomialsAppell polynomialsBinomial theoremCreation matrixPascal matrixIn this paper, we propose a unified approach to matrix representations of different types of Appell polynomials. This approach is based on the creation matrix – a special matrix which has only the natural numbers as entries and is closely related to the well-known Pascal matrix. By this means, we stress the arithmetical origins of Appell polynomials. The approach also allows to derive, in a simplified way, the properties of Appell polynomials by using only matrix operations.Taylor and Francis2018-07-20T14:00:52Z2015-06-03T00:00:00Z2015-06-032016-06-02T17:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15214eng1065-246910.1080/10652469.2015.1013035Aceto, L.Malonek, H. R.Tomaz, G.info: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:RCAAP2024-02-22T11:28:05Zoai:ria.ua.pt:10773/15214Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:37.496311Repositório 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 A unified matrix approach to the representation of Appell polynomials
title A unified matrix approach to the representation of Appell polynomials
spellingShingle A unified matrix approach to the representation of Appell polynomials
Aceto, L.
Appell polynomials
Binomial theorem
Creation matrix
Pascal matrix
title_short A unified matrix approach to the representation of Appell polynomials
title_full A unified matrix approach to the representation of Appell polynomials
title_fullStr A unified matrix approach to the representation of Appell polynomials
title_full_unstemmed A unified matrix approach to the representation of Appell polynomials
title_sort A unified matrix approach to the representation of Appell polynomials
author Aceto, L.
author_facet Aceto, L.
Malonek, H. R.
Tomaz, G.
author_role author
author2 Malonek, H. R.
Tomaz, G.
author2_role author
author
dc.contributor.author.fl_str_mv Aceto, L.
Malonek, H. R.
Tomaz, G.
dc.subject.por.fl_str_mv Appell polynomials
Binomial theorem
Creation matrix
Pascal matrix
topic Appell polynomials
Binomial theorem
Creation matrix
Pascal matrix
description In this paper, we propose a unified approach to matrix representations of different types of Appell polynomials. This approach is based on the creation matrix – a special matrix which has only the natural numbers as entries and is closely related to the well-known Pascal matrix. By this means, we stress the arithmetical origins of Appell polynomials. The approach also allows to derive, in a simplified way, the properties of Appell polynomials by using only matrix operations.
publishDate 2015
dc.date.none.fl_str_mv 2015-06-03T00:00:00Z
2015-06-03
2016-06-02T17:00:00Z
2018-07-20T14:00:52Z
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/10773/15214
url http://hdl.handle.net/10773/15214
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1065-2469
10.1080/10652469.2015.1013035
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor and Francis
publisher.none.fl_str_mv Taylor and Francis
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
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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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