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…
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.
On the Dynamics of a Higher Order Nonlinear System of Difference Equations
İnci Okumuş, Yüksel Soykan
The aim of this paper is to investigate the dynamics of a higher order system of rational difference equations. Our concentration is on boundedness character, the oscillatory, the…
Tribonacci and Tribonacci-Lucas Matrix Sequences with Negative Subscripts
Yüksel Soykan
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences with negative indices and investigate their properties.
Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers
Yüksel Soykan
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.
The Boundedness of Cauchy Integral Operator on a Domain Having Closed Analytic Boundary
Yüksel Soykan
In this paper, we prove that the Cauchy integral operators (or Cauchy transforms) define continuous linear operators on the Smirnov classes for some certain domain with closed anal…
Tribonacci and Tribonacci-Lucas Sedenions
Yüksel Soykan
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of th…