Author(s)

W. E. Ahmed^1,2

¹Mathematics and Statistics Department, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, KSA.
²Department of Basics and Engineering Sciences, Faculty of Engineering, University of Khartoum, Khartoum, Sudan.

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.

Octonion, Matrix Algebra

Ahmed, W. (2021) Powers of Octonions. Applied Mathematics, 12, 75-84. doi: 10.4236/am.2021.122006.