24 citations · 60 across the 12 of their papers we have counts for
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Summing Formulas For Generalized Tribonacci Numbers
Yüksel Soykan
In this paper, closed forms of the summation formulas for generalized Tribonacci numbers are presented. Then, some previous results are recovered as particular cases of the present…
On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers
İnci Okumuş, Yüksel Soykan
In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation x_{n+1}=(γ/(x_{n}(x_{n-1}+α)+\b{eta})…
On the Solutions of Systems of Difference Equations via Tribonacci Numbers
İnci Okumuş, Yüksel Soykan
The main objective of this paper is to investigate the explicit form, stability character and global behavior of solutions of the following two systems of rational difference equat…
Simson Identity of Generalized m-step Fibonacci Numbers
Yüksel Soykan
One of the best known and oldest identities for the Fibonacci sequence is which was derived first by R. Simson in 1753 and it is now called as…
Tetranacci and Tetranacci-Lucas Quaternions
Yüksel Soykan
The quaternions form a 4-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tetranacci and Tetranacci-Lucas quaternions. Furthermore, we present some properties of…
Gaussian Generalized Tetranacci Numbers
Yüksel Soykan
In this paper, we define Gaussian generalized Tetranacci numbers and as special cases, we investigate Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers with their propertie…
On Generalized Tribonacci Sedenions
Yüksel Soykan, İnci Okumuş, Erkan Taşdemir
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this work, we introduce the generalized Tribonacci sedenion and present some properties of this sedenion.