A generalization of dual bi-periodic Fibonacci quaternions

Elif Tan, İsmail Gök

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 allow us to state several number of
dual quaternion sequences in a unique sequence. Furthermore, we give the
generating function, the Binet formula, the norm value and some basic
properties of these dual quaternions.

Keywords


Fibonacci sequence, bi-periodic Fibonacci sequence, quaternions, dual quaternions, dual Fibonacci quaternions.

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