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https://hdl.handle.net/1822/29191
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Campo DC | Valor | Idioma |
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dc.contributor.author | Malonek, H. R. | - |
dc.contributor.author | Falcão, M. I. | - |
dc.date.accessioned | 2014-05-29T10:07:37Z | - |
dc.date.available | 2014-05-29T10:07:37Z | - |
dc.date.issued | 2007 | - |
dc.identifier.isbn | 978-0-7354-0447-2 | - |
dc.identifier.issn | 0094-243X | por |
dc.identifier.uri | https://hdl.handle.net/1822/29191 | - |
dc.description | AIP conference proceedings, vol. 936 | por |
dc.description.abstract | In 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. | por |
dc.description.sponsorship | 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. | por |
dc.language.iso | eng | por |
dc.publisher | AIP Publishing | por |
dc.rights | openAccess | por |
dc.subject | Homogeneous monogenic polynomials | por |
dc.subject | Quaternions | por |
dc.subject | Appell sets | por |
dc.title | Special monogenic polynomials - properties and applications | por |
dc.type | conferencePaper | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://dx.doi.org/10.1063/1.2790265 | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 764 | por |
oaire.citationEndPage | 767 | por |
oaire.citationIssue | 1 | por |
oaire.citationConferencePlace | Corfu, Greece | por |
oaire.citationTitle | Numerical Analysis and Applied Mathematics : International Conference of Numerical Analysis and Applied Mathematics | por |
oaire.citationVolume | 936 | por |
dc.identifier.doi | 10.1063/1.2790265 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | AIP Conference Proceedings | por |
sdum.conferencePublication | Numerical Analysis and Applied Mathematics : International Conference of Numerical Analysis and Applied Mathematics | por |
Aparece nas coleções: | DMA - Livros de atas |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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MalonekFalcao2007Repositorio.pdf | 47,27 kB | Adobe PDF | Ver/Abrir |