On paravector valued homogeneous monogenic polynomials with binomial expansion

Detalhes bibliográficos
Autor(a) principal: Malonek, Helmuth Robert
Data de Publicação: 2012
Outros Autores: Falcão, Maria Irene
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15317
Resumo: The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that can be used for a construction of sequences of generalized Appell polynomials in the context of Clifford analysis. Therefore, we admit a general form of the vector part of the first degree polynomial in the Appell sequence. This approach is different from the one presented in recent papers on this subject. We show that in the case of paravector valued polynomials of three real variables, there exist essentially two different types of such polynomials together with two other trivial types of polynomials. The proof indicates a way of obtaining analogous results in the case of polynomials of more than three variables.
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spelling On paravector valued homogeneous monogenic polynomials with binomial expansionClifford analysisGeneralized Appell polynomialThe aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that can be used for a construction of sequences of generalized Appell polynomials in the context of Clifford analysis. Therefore, we admit a general form of the vector part of the first degree polynomial in the Appell sequence. This approach is different from the one presented in recent papers on this subject. We show that in the case of paravector valued polynomials of three real variables, there exist essentially two different types of such polynomials together with two other trivial types of polynomials. The proof indicates a way of obtaining analogous results in the case of polynomials of more than three variables.SP Birkhäuser Verlag Basel2016-03-16T16:39:19Z2012-09-01T00:00:00Z2012-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15317eng0188-700910.1007/s00006-012-0361-5Malonek, Helmuth RobertFalcão, Maria Ireneinfo: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:RCAAP2024-02-22T11:28:07Zoai:ria.ua.pt:10773/15317Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:38.152786Repositório 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 paravector valued homogeneous monogenic polynomials with binomial expansion
title On paravector valued homogeneous monogenic polynomials with binomial expansion
spellingShingle On paravector valued homogeneous monogenic polynomials with binomial expansion
Malonek, Helmuth Robert
Clifford analysis
Generalized Appell polynomial
title_short On paravector valued homogeneous monogenic polynomials with binomial expansion
title_full On paravector valued homogeneous monogenic polynomials with binomial expansion
title_fullStr On paravector valued homogeneous monogenic polynomials with binomial expansion
title_full_unstemmed On paravector valued homogeneous monogenic polynomials with binomial expansion
title_sort On paravector valued homogeneous monogenic polynomials with binomial expansion
author Malonek, Helmuth Robert
author_facet Malonek, Helmuth Robert
Falcão, Maria Irene
author_role author
author2 Falcão, Maria Irene
author2_role author
dc.contributor.author.fl_str_mv Malonek, Helmuth Robert
Falcão, Maria Irene
dc.subject.por.fl_str_mv Clifford analysis
Generalized Appell polynomial
topic Clifford analysis
Generalized Appell polynomial
description The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that can be used for a construction of sequences of generalized Appell polynomials in the context of Clifford analysis. Therefore, we admit a general form of the vector part of the first degree polynomial in the Appell sequence. This approach is different from the one presented in recent papers on this subject. We show that in the case of paravector valued polynomials of three real variables, there exist essentially two different types of such polynomials together with two other trivial types of polynomials. The proof indicates a way of obtaining analogous results in the case of polynomials of more than three variables.
publishDate 2012
dc.date.none.fl_str_mv 2012-09-01T00:00:00Z
2012-09
2016-03-16T16:39:19Z
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/10773/15317
url http://hdl.handle.net/10773/15317
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0188-7009
10.1007/s00006-012-0361-5
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 SP Birkhäuser Verlag Basel
publisher.none.fl_str_mv SP Birkhäuser Verlag Basel
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
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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
repository.mail.fl_str_mv
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