Title of article :
A Generalization of Dual Bi-Periodic Fibonacci Quaternions
Author/Authors :
Tan, E Ankara University , Gok, I Ankara University
Abstract :
The purpose of the paper is to present a new generalization
of the dual Fibonacci quaternions called the generalized dual bi-periodic
Fibonacci quaternions. This new generalization allows us to state dual
quaternion sequences as a unique sequence. Furthermore, we give the generating function, the Binet formula, the norm value of these dual quaternions, and some basic properties of them.
Keywords :
Fibonacci sequence , bi-periodic Fibonacci sequence , quaternions , dual quaternions , dual Fibonacci quaternions
Journal title :
Astroparticle Physics