De Moivre's Formula and Euler's Formula for Octonions
Cristina Flaut, Vitalii Shpakivskyi
TL;DR
This paper extends De Moivre's and Euler's formulas to octonions, enabling the calculation of roots of generalized octonions through these classical mathematical formulas.
Contribution
It introduces the first generalization of De Moivre's and Euler's formulas specifically for octonions, expanding their applicability.
Findings
Derived formulas for octonions
Found roots of generalized octonions
Extended classical formulas to higher dimensions
Abstract
In this paper, we generalized De Moivre's formula and Euler's formula to octonions and find the roots of generalized octonions using these formulae.
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Taxonomy
TopicsRelativity and Gravitational Theory · Algebraic and Geometric Analysis