New Properties and Identities for Fibonacci Finite Operator Quaternions
In this paper, with the help of the finite operators and Fibonacci numbers, we define a new family of quaternions whose components are the Fibonacci finite operator numbers. We also provide some properties of these types of quaternions. Moreover, we derive many identities related to Fibonacci finite...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/10/1719 |
| _version_ | 1797498118476922880 |
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| author | Nazlıhan Terzioğlu Can Kızılateş Wei-Shih Du |
| author_facet | Nazlıhan Terzioğlu Can Kızılateş Wei-Shih Du |
| author_sort | Nazlıhan Terzioğlu |
| collection | DOAJ |
| description | In this paper, with the help of the finite operators and Fibonacci numbers, we define a new family of quaternions whose components are the Fibonacci finite operator numbers. We also provide some properties of these types of quaternions. Moreover, we derive many identities related to Fibonacci finite operator quaternions by using the matrix representations. |
| first_indexed | 2024-03-10T03:28:55Z |
| format | Article |
| id | doaj.art-5e93cc69dada49ada3e1a43012a1b940 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:28:55Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5e93cc69dada49ada3e1a43012a1b9402023-11-23T12:01:26ZengMDPI AGMathematics2227-73902022-05-011010171910.3390/math10101719New Properties and Identities for Fibonacci Finite Operator QuaternionsNazlıhan Terzioğlu0Can Kızılateş1Wei-Shih Du2Department of Mathematics, Zonguldak Bülent Ecevit University, 67100 Zonguldak, TurkeyDepartment of Mathematics, Zonguldak Bülent Ecevit University, 67100 Zonguldak, TurkeyDepartment of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, TaiwanIn this paper, with the help of the finite operators and Fibonacci numbers, we define a new family of quaternions whose components are the Fibonacci finite operator numbers. We also provide some properties of these types of quaternions. Moreover, we derive many identities related to Fibonacci finite operator quaternions by using the matrix representations.https://www.mdpi.com/2227-7390/10/10/1719Fibonacci numberFibonacci quaternionfinite operatormatrix representation |
| spellingShingle | Nazlıhan Terzioğlu Can Kızılateş Wei-Shih Du New Properties and Identities for Fibonacci Finite Operator Quaternions Mathematics Fibonacci number Fibonacci quaternion finite operator matrix representation |
| title | New Properties and Identities for Fibonacci Finite Operator Quaternions |
| title_full | New Properties and Identities for Fibonacci Finite Operator Quaternions |
| title_fullStr | New Properties and Identities for Fibonacci Finite Operator Quaternions |
| title_full_unstemmed | New Properties and Identities for Fibonacci Finite Operator Quaternions |
| title_short | New Properties and Identities for Fibonacci Finite Operator Quaternions |
| title_sort | new properties and identities for fibonacci finite operator quaternions |
| topic | Fibonacci number Fibonacci quaternion finite operator matrix representation |
| url | https://www.mdpi.com/2227-7390/10/10/1719 |
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