Powers of Octonions  

作　　者：W. E. Ahmed W. E. Ahmed(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)

机构地区：[1]Mathematics and Statistics Department, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, KSA [2]Department of Basics and Engineering Sciences, Faculty of Engineering, University of Khartoum, Khartoum, Sudan

出　　处：《Applied Mathematics》2021年第2期75-84,共10页应用数学（英文）

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.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.

关 键 词：OCTONION Matrix Algebra 

分 类 号：O17[理学—数学]