On Powers and Roots of Split Octonions
In this article, we obtain the polar forms for two types of split octonions. We calculate De Moivre’s formulas for all polar forms of split octonions. Thus, we give the nth− powers and roots of split octonions and the matrix representation of split octonions. In addition, we present an illustrative...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/4500295 |
| _version_ | 1811171048451735552 |
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| author | Mücahit Akbıyık |
| author_facet | Mücahit Akbıyık |
| author_sort | Mücahit Akbıyık |
| collection | DOAJ |
| description | In this article, we obtain the polar forms for two types of split octonions. We calculate De Moivre’s formulas for all polar forms of split octonions. Thus, we give the nth− powers and roots of split octonions and the matrix representation of split octonions. In addition, we present an illustrative example with Matlab codes. |
| first_indexed | 2024-04-10T17:07:36Z |
| format | Article |
| id | doaj.art-ac9ad66ceb3140c09616bb2c2b105a89 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-10T17:07:36Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-ac9ad66ceb3140c09616bb2c2b105a892023-02-06T01:40:27ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/4500295On Powers and Roots of Split OctonionsMücahit Akbıyık0Department of MathematicsIn this article, we obtain the polar forms for two types of split octonions. We calculate De Moivre’s formulas for all polar forms of split octonions. Thus, we give the nth− powers and roots of split octonions and the matrix representation of split octonions. In addition, we present an illustrative example with Matlab codes.http://dx.doi.org/10.1155/2023/4500295 |
| spellingShingle | Mücahit Akbıyık On Powers and Roots of Split Octonions Journal of Mathematics |
| title | On Powers and Roots of Split Octonions |
| title_full | On Powers and Roots of Split Octonions |
| title_fullStr | On Powers and Roots of Split Octonions |
| title_full_unstemmed | On Powers and Roots of Split Octonions |
| title_short | On Powers and Roots of Split Octonions |
| title_sort | on powers and roots of split octonions |
| url | http://dx.doi.org/10.1155/2023/4500295 |
| work_keys_str_mv | AT mucahitakbıyık onpowersandrootsofsplitoctonions |