TY: JOUR
T1 - Combinatorial identities in the context of hypercomplex function theory
A1 - Cação, Isabel
A1 - Falcão, M. I.
A1 - Malonek, Helmuth R.
N2 - 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.
UR - https://ria.ua.pt/handle/10773/24666
Y1 - 2018
PB - AIP Publishing