Powers of Octonions

作     者：W. E. Ahmed W. E. Ahmed

作者机构：Mathematics and Statistics Department Faculty of Science Imam Mohammad Ibn Saud Islamic University Riyadh KSA Department of Basics and Engineering Sciences Faculty of Engineering University of Khartoum Khartoum Sudan 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2021年第12卷第2期

页      面：75-84页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Octonion Matrix Algebra 

摘      要：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.