On (k,p)-Fibonacci numbers and matrices
In this paper, some relations between the powers of any matrices X satisfying the equation Xᵏ-pXᵏ⁻¹-(p-1)X-I=0 and (k,p)-Fibonacci numbers are established with k<2. First, a result is obtained to find the powers of the matrices satisfying the condition above via (k,p)-Fibonacci numbers. Then, new...
| 出版年: | Notes on Number Theory and Discrete Mathematics |
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| 主要な著者: | , , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences
2024-11-01
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| 主題: | |
| オンライン･アクセス: | https://nntdm.net/papers/nntdm-30/NNTDM-30-4-735-744.pdf |
| 要約: | In this paper, some relations between the powers of any matrices X satisfying the equation Xᵏ-pXᵏ⁻¹-(p-1)X-I=0 and (k,p)-Fibonacci numbers are established with k<2. First, a result is obtained to find the powers of the matrices satisfying the condition above via (k,p)-Fibonacci numbers. Then, new properties related to (k,p)-Fibonacci numbers are given. Moreover, some relations between the sequence {F₃,ₛ(n)} and the generalized Fibonacci sequence {Uₙ(p,q)} are also examined. |
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| ISSN: | 1310-5132 2367-8275 |