4 citations · 8 across the 4 of their papers we have counts for
4 papers
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…
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 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…