Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables

Detalhes bibliográficos
Autor(a) principal: Malonek, H. R.
Data de Publicação: 2023
Outros Autores: Cação, I., Falcão, M.I., 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/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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spelling 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
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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