Special monogenic polynomials - properties and applications

Bibliographic Details
Main Author: Malonek, H. R.
Publication Date: 2007
Other Authors: Falcão, M. I.
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/29191
Summary: AIP conference proceedings, vol. 936
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spelling Special monogenic polynomials - properties and applicationsHomogeneous monogenic polynomialsQuaternionsAppell setsScience & TechnologyAIP conference proceedings, vol. 936In Clifford Analysis several different methods have been developed for constructing monogenic functions as series with respect to properly chosen homogeneous monogenic polynomials. Almost all these methods rely on sets of orthogonal polynomials with their origin in classical (real) Harmonic Analysis in order to obtain the desired basis of homogeneous polynomials. We use a direct and elementary approach to this problem and construct a set of homogeneous polynomials involving only products of a hypercomplex variable and its hypercomplex conjugate. The obtained set is an Appell set of monogenic polynomials with respect to the hypercomplex derivative. Its intrinsic properties and some applications are presented.The research of the first author was partially supported by the R&D unit Matematica e Aplicacoes (UIMA) of the University of Aveiro, through the Portuguese Foundation for Science and Technology (FCT). The research of the second author was partially supported by the Portuguese Foundation for Science and Technology (FCT) through the research program POCTI.AIP PublishingUniversidade do MinhoMalonek, H. R.Falcão, M. I.20072007-01-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/1822/29191eng978-0-7354-0447-20094-243X10.1063/1.2790265http://dx.doi.org/10.1063/1.2790265info: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:RCAAP2024-05-11T07:32:03Zoai:repositorium.sdum.uminho.pt:1822/29191Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:30:31.036554Repositórios 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 Special monogenic polynomials - properties and applications
title Special monogenic polynomials - properties and applications
spellingShingle Special monogenic polynomials - properties and applications
Malonek, H. R.
Homogeneous monogenic polynomials
Quaternions
Appell sets
Science & Technology
title_short Special monogenic polynomials - properties and applications
title_full Special monogenic polynomials - properties and applications
title_fullStr Special monogenic polynomials - properties and applications
title_full_unstemmed Special monogenic polynomials - properties and applications
title_sort Special monogenic polynomials - properties and applications
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 Homogeneous monogenic polynomials
Quaternions
Appell sets
Science & Technology
topic Homogeneous monogenic polynomials
Quaternions
Appell sets
Science & Technology
description AIP conference proceedings, vol. 936
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-01-01T00:00:00Z
dc.type.driver.fl_str_mv conference paper
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/29191
url http://hdl.handle.net/1822/29191
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-0-7354-0447-2
0094-243X
10.1063/1.2790265
http://dx.doi.org/10.1063/1.2790265
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 AIP Publishing
publisher.none.fl_str_mv AIP Publishing
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
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
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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