Powers of Octonions

• 作者: W. E. Ahmed
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: OCTONION Matrix Algebra
• 年，卷（期）: 2021,（2）
• 页码范围: 75-84
• 页数: 10页
• 分类号: O17

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.