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https://hdl.handle.net/1822/17072
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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 | 2012-02-14T16:18:57Z | - |
dc.date.available | 2012-02-14T16:18:57Z | - |
dc.date.issued | 2010 | - |
dc.identifier.isbn | 978-0-7354-0834-0 | - |
dc.identifier.issn | 0094-243X | por |
dc.identifier.uri | https://hdl.handle.net/1822/17072 | - |
dc.description.abstract | Considering the foundation of Quaternionic Analysis by R. Fueter and his collaborators in the beginning of the 1930s as starting point of Clifford Analysis, we can look back to 80 years of work in this eld. However the interest in multivariate analysis using Clifford algebras only started to grow significantly in the 70s. Since then a great amount of papers on Clifford Analysis referring different classes of Special Functions have appeared. This situation may have been triggered by a more systematic treatment of monogenic functions by their multiple series development derived from Gegenbauer or associated Legendre polynomials (and not only by their integral representation). Also approaches to Special Functions by means of algebraic methods, either Lie algebras or through Lie groups and symmetric spaces gained by that time importance and infuenced their treatment in Clifford Analysis. In our talk we will rely on the generalization of the classical approach to Special Functions through differential equations with respect to the hypercomplex derivative, which is a more recently developed tool in Clifford Analysis. In this context special attention will be payed to the role of Special Functions as intermediator between continuous and discrete mathematics. This corresponds to a more recent trend in combinatorics, since it has been revealed that many algebraic structures have hidden combinatorial underpinnings. | por |
dc.description.sponsorship | The research of the first author was partially supported by the Centro de Investigacao e Desenvolvimento em Matematica e Aplicacoes (CIDMA) of the University of Aveiro, through the Portuguese Foundation for Science and Technology (FCT). | por |
dc.language.iso | eng | por |
dc.publisher | AIP Publishing | por |
dc.rights | openAccess | por |
dc.subject | Special functions | por |
dc.subject | Clifford analysis | por |
dc.subject | Appell sequences | por |
dc.subject | Combinatorial identities | por |
dc.title | On special functions in the context of clifford analysis | por |
dc.type | conferencePaper | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://proceedings.aip.org/ | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 1492 | por |
oaire.citationEndPage | 1495 | por |
oaire.citationConferencePlace | Greece, 19–25 September 2010 | por |
oaire.citationTitle | ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 | por |
oaire.citationVolume | 1281 | por |
dc.identifier.doi | 10.1063/1.3498054 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | AIP Conference Proceedings | por |
sdum.conferencePublication | ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 | por |
Aparece nas coleções: | DMA - Artigos (Papers) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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MalonekFalcaoAIP2010.pdf | 217,91 kB | Adobe PDF | Ver/Abrir |