Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/58075
Título: | Combinatorial identities in the context of hypercomplex function theory |
Autor(es): | Cação, I. Falcão, M. I. Malonek, H. R. |
Data: | 2018 |
Editora: | American Institute of Physics |
Revista: | AIP Conference Proceedings |
Resumo(s): | 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. |
Tipo: | Artigo em ata de conferência |
URI: | https://hdl.handle.net/1822/58075 |
ISBN: | 9780735416901 |
DOI: | 10.1063/1.5043904 |
ISSN: | 0094-243X |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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CacaoFalcaoMalonek_ICNAAM2017.pdf | 107,72 kB | Adobe PDF | Ver/Abrir |