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Powers of Octonions
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
- 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
Applied Mathematics·Volume 12 (2021)·Pages 75–84·Published 9 February 2021·DOI10.4236/am.2021.122006
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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.
KeywordsOctonionMatrix Algebra
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