Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices
In this paper, we consider one of the most known Fibonacci matrix Q and the Fibonacci quaternion matrix MQFn, where Qn is the n-th Fibonacci quaternion. In particular we define some new quaternion matrices. Our object is to derive some identities concerning Fibonacci and Lucas quaternions by usin...
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| Format: | Article |
| Language: | English |
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Düzce University
2019-01-01
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| Series: | Düzce Üniversitesi Bilim ve Teknoloji Dergisi |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/662127 |
| _version_ | 1797300712412020736 |
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| author | Bahar Demirtürk Bitim |
| author_facet | Bahar Demirtürk Bitim |
| author_sort | Bahar Demirtürk Bitim |
| collection | DOAJ |
| description | In this paper, we consider one of the most known
Fibonacci matrix Q and the Fibonacci
quaternion matrix MQFn, where Qn is the n-th Fibonacci quaternion.
In particular we define some new quaternion matrices. Our object is to derive
some identities concerning Fibonacci and Lucas quaternions by using some new
quaternion matrices with terms Fibonacci and Lucas numbers. |
| first_indexed | 2024-03-07T23:12:04Z |
| format | Article |
| id | doaj.art-73224169d75240109492e8b023a2d909 |
| institution | Directory Open Access Journal |
| issn | 2148-2446 |
| language | English |
| last_indexed | 2024-03-07T23:12:04Z |
| publishDate | 2019-01-01 |
| publisher | Düzce University |
| record_format | Article |
| series | Düzce Üniversitesi Bilim ve Teknoloji Dergisi |
| spelling | doaj.art-73224169d75240109492e8b023a2d9092024-02-21T14:07:35ZengDüzce UniversityDüzce Üniversitesi Bilim ve Teknoloji Dergisi2148-24462019-01-017160661510.29130/dubited.48812297Some Identities of Fibonacci and Lucas Quaternions by Quaternion MatricesBahar Demirtürk Bitim0İZMİR BAKIRÇAY ÜNİVERSİTESİIn this paper, we consider one of the most known Fibonacci matrix Q and the Fibonacci quaternion matrix MQFn, where Qn is the n-th Fibonacci quaternion. In particular we define some new quaternion matrices. Our object is to derive some identities concerning Fibonacci and Lucas quaternions by using some new quaternion matrices with terms Fibonacci and Lucas numbers.https://dergipark.org.tr/tr/download/article-file/662127fibonacci sayılarılucas sayılarıfibonacci kuaterniyonlarılucas kuaterniyonlarıfibonacci numberslucas numbersfibonacci quaternionslucas quaternions |
| spellingShingle | Bahar Demirtürk Bitim Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices Düzce Üniversitesi Bilim ve Teknoloji Dergisi fibonacci sayıları lucas sayıları fibonacci kuaterniyonları lucas kuaterniyonları fibonacci numbers lucas numbers fibonacci quaternions lucas quaternions |
| title | Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices |
| title_full | Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices |
| title_fullStr | Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices |
| title_full_unstemmed | Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices |
| title_short | Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices |
| title_sort | some identities of fibonacci and lucas quaternions by quaternion matrices |
| topic | fibonacci sayıları lucas sayıları fibonacci kuaterniyonları lucas kuaterniyonları fibonacci numbers lucas numbers fibonacci quaternions lucas quaternions |
| url | https://dergipark.org.tr/tr/download/article-file/662127 |
| work_keys_str_mv | AT bahardemirturkbitim someidentitiesoffibonacciandlucasquaternionsbyquaternionmatrices |