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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
DOI: 10.1063/1.5043643
ISSN: 0094-243X
Appears in Collections:CIDMA - Artigos

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