3 papers
math.NT2017
Bi-periodic Fibonacci matrix polynomial and its binomial transforms
A. Coskun, N. Taskara
In this paper, we consider the matrix polynomial obtained by using bi-periodic Fibonacci matrix polynomial. Then, we give some properties and binomial transforms of the new matrix…
math.NT2016
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…
math.NT2016
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…