De-Moivre and Euler Formulae for Dual-Complex Numbers
In this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples to illustrate the main results in this paper.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2019-09-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/820215 |
| _version_ | 1827377609136144384 |
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| author | Mehmet Ali Güngör Ömer Tetik |
| author_facet | Mehmet Ali Güngör Ömer Tetik |
| author_sort | Mehmet Ali Güngör |
| collection | DOAJ |
| description | In this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples to illustrate the main results in this paper. |
| first_indexed | 2024-03-08T12:41:36Z |
| format | Article |
| id | doaj.art-b1744c8ffd8d42d3b2c06f2d0c3bb99f |
| institution | Directory Open Access Journal |
| issn | 2619-9653 |
| language | English |
| last_indexed | 2024-03-08T12:41:36Z |
| publishDate | 2019-09-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj.art-b1744c8ffd8d42d3b2c06f2d0c3bb99f2024-01-21T10:13:23ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532019-09-012312612910.32323/ujma.5878161225De-Moivre and Euler Formulae for Dual-Complex NumbersMehmet Ali Güngör0Ömer TetikSAKARYA UNIVERSITYIn this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples to illustrate the main results in this paper.https://dergipark.org.tr/tr/download/article-file/820215complex numberdual numbers |
| spellingShingle | Mehmet Ali Güngör Ömer Tetik De-Moivre and Euler Formulae for Dual-Complex Numbers Universal Journal of Mathematics and Applications complex number dual numbers |
| title | De-Moivre and Euler Formulae for Dual-Complex Numbers |
| title_full | De-Moivre and Euler Formulae for Dual-Complex Numbers |
| title_fullStr | De-Moivre and Euler Formulae for Dual-Complex Numbers |
| title_full_unstemmed | De-Moivre and Euler Formulae for Dual-Complex Numbers |
| title_short | De-Moivre and Euler Formulae for Dual-Complex Numbers |
| title_sort | de moivre and euler formulae for dual complex numbers |
| topic | complex number dual numbers |
| url | https://dergipark.org.tr/tr/download/article-file/820215 |
| work_keys_str_mv | AT mehmetaligungor demoivreandeulerformulaefordualcomplexnumbers AT omertetik demoivreandeulerformulaefordualcomplexnumbers |