9 citations · 26 across the 14 of their papers we have counts for
5 papers · 1 filter
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 Matrix Sequence in terms of bi-periodic Fibonacci numbers
Arzu Coskun, Necati Taskara
In this paper, we define the bi-periodic Fibonacci matrix sequence that represent bi-periodic Fibonacci numbers. Then, we investigate generating function, Binet formula and summati…
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…
Generating matrix of the bi-periodic Lucas numbers
Arzu Coskun, Necati Taskara
In this paper, firstly, we introduce the Q_{l}-Generating matrix for the bi-periodic Lucas numbers. Then, by taking into account this matrix representation, we obtain some properti…
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…