Matrix representations of a special polynomial sequence in arbitrary dimension
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/20134 |
Resumo: | This paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of multiplicativity caused by the non-commutativity of the underlying algebra. |
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Matrix representations of a special polynomial sequence in arbitrary dimensionSpecial polynomial sequenceMonogenic functionMatrix representationScience & TechnologyThis paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of multiplicativity caused by the non-commutativity of the underlying algebra.Fundação para a Ciência e a Tecnologia (FCT)Heldermann VerlagUniversidade do MinhoCação, I.Falcão, M. I.Malonek, H. R.20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/20134eng1617-9447http://www.heldermann-verlag.de/cmf/cmf12/cmf12025.pdfinfo: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:RCAAP2023-07-21T12:50:58Zoai:repositorium.sdum.uminho.pt:1822/20134Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:49:44.864912Repositório 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 |
Matrix representations of a special polynomial sequence in arbitrary dimension |
title |
Matrix representations of a special polynomial sequence in arbitrary dimension |
spellingShingle |
Matrix representations of a special polynomial sequence in arbitrary dimension Cação, I. Special polynomial sequence Monogenic function Matrix representation Science & Technology |
title_short |
Matrix representations of a special polynomial sequence in arbitrary dimension |
title_full |
Matrix representations of a special polynomial sequence in arbitrary dimension |
title_fullStr |
Matrix representations of a special polynomial sequence in arbitrary dimension |
title_full_unstemmed |
Matrix representations of a special polynomial sequence in arbitrary dimension |
title_sort |
Matrix representations of a special polynomial sequence in arbitrary dimension |
author |
Cação, I. |
author_facet |
Cação, I. Falcão, M. I. Malonek, H. R. |
author_role |
author |
author2 |
Falcão, M. I. Malonek, H. R. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Cação, I. Falcão, M. I. Malonek, H. R. |
dc.subject.por.fl_str_mv |
Special polynomial sequence Monogenic function Matrix representation Science & Technology |
topic |
Special polynomial sequence Monogenic function Matrix representation Science & Technology |
description |
This paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of multiplicativity caused by the non-commutativity of the underlying algebra. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012 2012-01-01T00:00:00Z |
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/1822/20134 |
url |
http://hdl.handle.net/1822/20134 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1617-9447 http://www.heldermann-verlag.de/cmf/cmf12/cmf12025.pdf |
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 |
Heldermann Verlag |
publisher.none.fl_str_mv |
Heldermann Verlag |
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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1799133079873257472 |