2018/02/16 by Tan, Elif, Şahin, Murat, Yılmaz, Semih
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1802.05897
In this paper, we present a further generalization of the bi- periodic Fibonacci quaternions and octonions. We give the generating function, the Binet formula, and some basic properties of these quaternions and octonions. The results of this paper not only give a generalization of the bi-periodic Fibonacci quaternions and octonions, but also include new results such as the matrix representation and the norm value of the generalized bi-periodic Fibonacci quaternions.