Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables
Autor(a) principal: | |
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Data de Publicação: | 2023 |
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/10314/9023 |
Resumo: | This paper deals with different power series expansions of generalized holomorphic (monogenic) functions in the setting of Clifford Analysis. Our main concern are generalized Appell polynomials as a special class of monogenic polynomials which have been introduced in 2006 by two of the authors using several monogenic hypercomplex variables. We clarify the reasons why a particular pair of non-monogenic variables allows to obtain a power series expansion by those generalized Appell polynomials. The approach is based on the differential of a function. Some other monogenic polynomials as well as applications are mentioned. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variablesThis paper deals with different power series expansions of generalized holomorphic (monogenic) functions in the setting of Clifford Analysis. Our main concern are generalized Appell polynomials as a special class of monogenic polynomials which have been introduced in 2006 by two of the authors using several monogenic hypercomplex variables. We clarify the reasons why a particular pair of non-monogenic variables allows to obtain a power series expansion by those generalized Appell polynomials. The approach is based on the differential of a function. Some other monogenic polynomials as well as applications are mentioned.AIP Publishing2023-11-24T23:18:19Z2023-11-242023-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10314/9023http://hdl.handle.net/10314/9023eng978-0-7354-4589-5Malonek, H. R.Cação, I.Falcão, M.I.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:RCAAP2024-01-14T03:00:07Zoai:bdigital.ipg.pt:10314/9023Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:44:17.417457Repositório 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 |
Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables |
title |
Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables |
spellingShingle |
Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables Malonek, H. R. |
title_short |
Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables |
title_full |
Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables |
title_fullStr |
Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables |
title_full_unstemmed |
Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables |
title_sort |
Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables |
author |
Malonek, H. R. |
author_facet |
Malonek, H. R. Cação, I. Falcão, M.I. Tomaz, G. |
author_role |
author |
author2 |
Cação, I. Falcão, M.I. Tomaz, G. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Malonek, H. R. Cação, I. Falcão, M.I. Tomaz, G. |
description |
This paper deals with different power series expansions of generalized holomorphic (monogenic) functions in the setting of Clifford Analysis. Our main concern are generalized Appell polynomials as a special class of monogenic polynomials which have been introduced in 2006 by two of the authors using several monogenic hypercomplex variables. We clarify the reasons why a particular pair of non-monogenic variables allows to obtain a power series expansion by those generalized Appell polynomials. The approach is based on the differential of a function. Some other monogenic polynomials as well as applications are mentioned. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-11-24T23:18:19Z 2023-11-24 2023-09-01T00:00:00Z |
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/10314/9023 http://hdl.handle.net/10314/9023 |
url |
http://hdl.handle.net/10314/9023 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
978-0-7354-4589-5 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
AIP Publishing |
publisher.none.fl_str_mv |
AIP Publishing |
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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1799136937923051520 |