TITLE:
Powers of Octonions
AUTHORS:
W. E. Ahmed
KEYWORDS:
Octonion, Matrix Algebra
JOURNAL NAME:
Applied Mathematics,
Vol.12 No.2,
February
10,
2021
ABSTRACT: As it is known, Binomial expansion, De Moivre’s formula, and Euler’s formula are suitable methods for computing the powers of a complex number, but to compute the powers of an octonion number in easy way, we need to derive suitable formulas from these methods. In this paper, we present a novel way to compute the powers of an octonion number using formulas derived from the binomial expansion.