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https://hdl.handle.net/1822/58075
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Cação, I. | por |
dc.contributor.author | Falcão, M. I. | por |
dc.contributor.author | Malonek, H. R. | por |
dc.date.accessioned | 2019-01-11T14:34:08Z | - |
dc.date.available | 2019-01-11T14:34:08Z | - |
dc.date.issued | 2018 | - |
dc.identifier.isbn | 9780735416901 | por |
dc.identifier.issn | 0094-243X | - |
dc.identifier.uri | https://hdl.handle.net/1822/58075 | - |
dc.description.abstract | Recently, the authors have shown that a certain combinatorial identity in terms of generators of quaternions is related to a particular sequence of rational numbers (Vietoris' number sequence). This sequence appeared for the first time in a theorem by Vietoris (1958) and plays an important role in harmonic analysis and in the theory of stable holomorphic functions in the unit disc. We present a generalization of that combinatorial identity involving an arbitrary number of generators of a Clifford algebra. The result reveals new insights in combinatorial phenomena in the context of hypercomplex function theory. | por |
dc.description.sponsorship | The work of the first and third authors was supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT-Fundação para a Ciência e Tecnologia”), within project PEst-OE/MAT/UI4106/2013. The work of the second author was supported by Portuguese funds through the CMAT - Centre of Mathematics and FCT within the Project UID/MAT/00013/2013. | por |
dc.language.iso | eng | por |
dc.publisher | American Institute of Physics | por |
dc.relation | PEst-OE/MAT/UI4106/2013 | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147370/PT | por |
dc.rights | openAccess | por |
dc.title | Combinatorial identities in the context of hypercomplex function theory | por |
dc.type | conferencePaper | por |
dc.peerreviewed | yes | por |
oaire.citationVolume | 1978 | - |
dc.date.updated | 2019-01-11T10:28:03Z | - |
dc.identifier.doi | 10.1063/1.5043904 | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | por |
sdum.export.identifier | 5243 | - |
sdum.journal | AIP Conference Proceedings | - |
sdum.conferencePublication | INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) | por |
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Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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CacaoFalcaoMalonek_ICNAAM2017.pdf | 107,72 kB | Adobe PDF | Ver/Abrir |