De Moivre's formula for quaternions (Q1808574)
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scientific article; zbMATH DE number 1369473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | De Moivre's formula for quaternions |
scientific article; zbMATH DE number 1369473 |
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De Moivre's formula for quaternions (English)
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25 November 1999
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Euler's formula and De Moivre's formula for complex numbers are generalized for (Hamilton) quaternions. De Moivre's formula implies that there are infinitely many unit quaternions satisfying \(x^n=1\) for \(n\in \mathbb{Z}\), \(n\geq 3\).
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quaternions
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de Moivre formula
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