On paravector valued homogeneous monogenic polynomials with binomial expansion

Bibliographic Details
Main Author: Malonek, H. R.
Publication Date: 2012
Other Authors: Falcão, M. I.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/20135
Summary: 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 polynomialsgeneralized Appell polynomialScience & TechnologyThe 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.Fundação para a Ciência e a Tecnologia (FCT)SpringerUniversidade do MinhoMalonek, H. R.Falcão, M. I.20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/20135eng0188-700910.1007/s00006-012-0361-5http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s00006-012-0361-5info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T06:19:45Zoai:repositorium.sdum.uminho.pt:1822/20135Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:49:14.716028Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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, H. R.
Clifford Analysis
Generalized Appell polynomials
generalized Appell polynomial
Science & Technology
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, H. R.
author_facet Malonek, H. R.
Falcão, M. I.
author_role author
author2 Falcão, M. I.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Malonek, H. R.
Falcão, M. I.
dc.subject.por.fl_str_mv Clifford Analysis
Generalized Appell polynomials
generalized Appell polynomial
Science & Technology
topic Clifford Analysis
Generalized Appell polynomials
generalized Appell polynomial
Science & Technology
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
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/1822/20135
url http://hdl.handle.net/1822/20135
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0188-7009
10.1007/s00006-012-0361-5
http://www.springerlink.com/openurl.asp?genre=article&id=doi: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 Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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