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- W2807446582 abstract "In cite{Oz}, M. Ozdemir defined a new non-commutative number system called hybrid numbers. In this paper, we define the hybrid Fibonacci and Lucas numbers. This number system can be accepted as a generalization of the complex ($textbf{i}^{2}=-1$), hyperbolic ($textbf{h}^{2}=1$) and dual Fibonacci number ($varepsilon^{2}=0$) systems. Furthermore, a hybrid Fibonacci number is a number created with any combination of the complex, hyperbolic and dual numbers satisfying the relation $textbf{ih}=-textbf{hi}=varepsilon+textbf{i}$. Then we used the Binet's formula to show some properties of the hybrid Fibonacci numbers. We get some generalized identities of the hybrid Fibonacci and hybrid Lucas numbers." @default.
- W2807446582 created "2018-06-13" @default.
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- W2807446582 date "2018-06-03" @default.
- W2807446582 modified "2023-09-27" @default.
- W2807446582 title "Investigation of Generalized Hybrid Fibonacci Numbers and Their Properties" @default.
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