9 citations · 24 across the 10 of their papers we have counts for
11 papers
A note on the bi-periodic Fibonacci and Lucas matrix sequences
Arzu Coskun, Nazmiye Yilmaz, Necati Taskara
In this paper, we introduce the bi-periodic Lucas matrix sequence and present some fundamental properties of this generalized matrix sequence. Moreover, we investigate the importan…
The Bi-periodic Fibonacci Octonions
Nazmiye Yilmaz, Yasin Yazlik, Necati Taskara
In this paper, by using bi-periodic Fibonacci numbers, we introduce the bi-periodic Fibonacci octonions. After that, we derive the generating function of these octonions as well as…
Bi-periodic incomplete Lucas numbers
Nazmiye Yilmaz, Yasin Yazlik, Necati Taskara
In this paper, by presenting bi-periodic Lucas numbers as a binomial sum, we introduce the bi-periodic incomplete Lucas numbers. After that, by using the bi-periodic incomplete Luc…
Iterated binomial transform of the k-Lucas sequence
Nazmiye Yilmaz, Necati Taskara
In this study, we apply "r" times the binomial transform to k-Lucas sequence. Also, the Binet formula, summation, generating function of this transform are found using recurrence r…
On the g-Circulant Matrix involving the Generalized k-Horadam Numbers
Nazmiye Yilmaz, Yasin Yazlik, Necati Taskara
In this study, we present a new generalization of circulant matrices for the generalized -Horadam numbers, by considering the -circulant matrix $C_{n,g}(H)=g -circ(H_{k,1},H_…
On the properties of iterated binomial transforms for the Padovan and Perrin matrix sequences
Nazmiye Yilmaz, Necati Taskara
In this study, we apply "r" times the binomial transform to the Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, generating functions of these transforms…
On properties of Tribonacci-Lucas polynomials
Hasan Kose, Nazmiye Yilmaz, Necati Taskara
In this paper, we investigated properties of Tribonacci-Lucas polynomials which generalized Tribonacci-Lucas numbers. From this generalization, we also obtain some new algebraic pr…
On the binomial sums of Horadam sequence
Nazmiye Yilmaz, Necati Taskara
The main purpose of this paper is to establish some new properties of Horadam numbers in terms of binomial sums. By that, we can obtain these special numbers in a new and direct wa…
On the properties of circulant matrices involving Generalized Tribonacci and Generalized Tribonacci-Lucas numbers
Nazmiye Yilmaz, Yasin Yazlik, Necati Taskara
In this paper, firstly, we define the Generalized Tribonacci-Lucas numbers. In addition, by also defining circulant matrices C_{n}(G) and C_{n}(S) whose entries are Generalized Tri…
The Binomial Transforms of Tribonacci and Tribonacci-Lucas sequences
Nazmiye Yilmaz, Necati Taskara
In this study, we apply the binomial transforms to Tribonacci and Tribonacci-Lucas sequences. Also, the Binet formulas, summations, generating functions of these transforms are fou…
Incomplete Tribonacci-Lucas numbers and polynomials
N. Yilmaz, N. Taskara
In this paper, we define Tribonacci-Lucas polynomials and present Tribonacci-Lucas numbers and polynomials as a binomial sum. Then, we introduce incomplete Tribonacci-Lucas numbers…