Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonions
In this paper, we introduce split dual Fibonacci and split dual Lucas octonions over the algebra $ \widetilde{\widetilde{O}}\left(a, b, c\right) $, where $ a, b $ and $ c $ are real numbers. We obtain Binet formulas for these octonions. Also, we give many identities and Vajda theorems for split du...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022483?viewType=HTML |
| _version_ | 1819236954400620544 |
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| author | Ümit Tokeşer Tuğba Mert Yakup Dündar |
| author_facet | Ümit Tokeşer Tuğba Mert Yakup Dündar |
| author_sort | Ümit Tokeşer |
| collection | DOAJ |
| description | In this paper, we introduce split dual Fibonacci and split dual Lucas octonions over the algebra $ \widetilde{\widetilde{O}}\left(a, b, c\right) $, where $ a, b $ and $ c $ are real numbers. We obtain Binet formulas for these octonions. Also, we give many identities and Vajda theorems for split dual Fibonacci and split dual Lucas octonions including Catalan's identity, Cassini's identity and d'Ocagne's identity. |
| first_indexed | 2024-12-23T13:12:38Z |
| format | Article |
| id | doaj.art-2f31441f453c48e8ad429eca34a5a0b5 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-23T13:12:38Z |
| publishDate | 2022-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-2f31441f453c48e8ad429eca34a5a0b52022-12-21T17:45:42ZengAIMS PressAIMS Mathematics2473-69882022-03-01758645865310.3934/math.2022483Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonionsÜmit Tokeşer0Tuğba Mert1Yakup Dündar21. Department of Mathematics, Faculty of Arts and Sciences, Kastamonu University, Kastamonu 37100, Turkey2. Department of Mathematics, Faculty of Sciences, Sivas Cumhuriyet University, Sivas 58100, Turkey1. Department of Mathematics, Faculty of Arts and Sciences, Kastamonu University, Kastamonu 37100, TurkeyIn this paper, we introduce split dual Fibonacci and split dual Lucas octonions over the algebra $ \widetilde{\widetilde{O}}\left(a, b, c\right) $, where $ a, b $ and $ c $ are real numbers. We obtain Binet formulas for these octonions. Also, we give many identities and Vajda theorems for split dual Fibonacci and split dual Lucas octonions including Catalan's identity, Cassini's identity and d'Ocagne's identity. https://www.aimspress.com/article/doi/10.3934/math.2022483?viewType=HTMLoctonionsdual fibonacci and dual lucas numberssplit dual fibonacci and split dual lucas octonions |
| spellingShingle | Ümit Tokeşer Tuğba Mert Yakup Dündar Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonions AIMS Mathematics octonions dual fibonacci and dual lucas numbers split dual fibonacci and split dual lucas octonions |
| title | Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonions |
| title_full | Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonions |
| title_fullStr | Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonions |
| title_full_unstemmed | Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonions |
| title_short | Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonions |
| title_sort | some properties and vajda theorems of split dual fibonacci and split dual lucas octonions |
| topic | octonions dual fibonacci and dual lucas numbers split dual fibonacci and split dual lucas octonions |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022483?viewType=HTML |
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