TY: GEN
T1 - Combinatorial identities in the context of hypercomplex function theory
A1 - Cação, I.
A1 - Falcão, M. I.
A1 - Malonek, H. 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 Clifford algebra. The result reveals new insights in combinatorial phenomena in the context of hypercomplex function theory.
UR - http://repositorium.sdum.uminho.pt/handle/1822/58075
Y1 - 2018
PB - American Institute of Physics