24 citations · 60 across the 12 of their papers we have counts for
14 papers
Generalized q-Morgan Voyce Polynomials
Bahadır Yılmaz, Yuksel Soykan
This study introduces and investigates generalized q-Morgan-Voyce polynomials and their specific cases, including the first and second kinds of q-Morgan-Voyce polynomials, q-Horada…
Global Dynamical Behaviours and Periodicity of a Certain Quadratic-Rational Difference Equation with Delay
Erkan Taşdemir, Melih Göcen, Yüksel Soykan
Our aim in this paper is to deal with the dynamics of following higher order difference equation x_{n+1}=A+B((x_{n-m})/(x_{n}^2)) where A,B>0, and initial values are positive, and…
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…