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J. Autom. Lang. Comb., 2021
Journal of Automata, Languages and Combinatorics, Volume 26, Numbers 3-4, 2021, 255 ...
Lila Kari +3 more
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Journal of Automata, Languages and Combinatorics, Volume 26, Numbers 3-4, 2021, 255 ...
Lila Kari +3 more
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On the (s, t)-Fibonacci and Fibonacci Matrix Sequences.
Ars Comb., 2008It is always fascinating to see what results when seemingly different areas mathematics overlap. This article reveals one such result; number theory and linear algebra are intertwined to yield complex factorizations of the classic Fibonacci, Pell, Jacobsthal, and Mersenne numbers.
Civciv, Hacı, Türkmen, Ramazan
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A Study on Fibonacci Functions and Gaussian Fibonacci Functions
Sarajevo Journal of MathematicsIn this paper, we define Gaussian Fibonacci functions and investigate themon the set of real numbers $\mathbb{R},$ i.e., functions $f_{G}$ $:$$\mathbb{R}\rightarrow \mathbb{C}$ such that for all $x\in \mathbb{R},$ $%n\in \mathbb{Z},$ $f_{G}(x+n)=f(x+n)+if(x+n-1)$ where $f$ $:$ $\mathbb{R}%\rightarrow \mathbb{R}$ is a Fibonacci function which is given ...
Soykan, Yüksel +3 more
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A new family of k-Fibonacci numbers
Applied Mathematics and Computation, 2010Moawwad El-Mikkawy, Tomohiro Sogabe
exaly
Fibonacci sayılar ve fibonacci grupları
2020SUMMARY Calculations of Fibonacci numbers with two steps have been investigated in the previous studies[l]. In addition to the studies, the additive calculations of odd, even and succesive indices of Fibonacci numbers with three steps are studied. Basic properties of the Fibonacci groups are given and a relation matrix for A(r, n) which is the factor ...
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Fibonacci Generalized Quaternions
Advances in Applied Clifford Algebras, 2014Mahmut Akyigit +2 more
exaly