Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/24666
Title: | Combinatorial identities in the context of hypercomplex function theory |
Author: | Cação, Isabel Falcão, M. I. Malonek, Helmuth R. |
Issue Date: | 10-Jul-2018 |
Publisher: | AIP Publishing |
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 Cli ord algebra. The result reveals new insights in combinatorial phenomena in the context of hypercomplex function theory. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/24666 |
DOI: | 10.1063/1.5043643 |
ISSN: | 0094-243X |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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AIP 1978_2017_ICNAAM.pdf | 118.99 kB | Adobe PDF | View/Open |
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