A generalization of dual bi-periodic Fibonacci quaternions

Authors

  • Elif Tan
  • İsmail Gök

DOI:

https://doi.org/10.30495/jme.v13i0.763

Keywords:

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

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.

Author Biographies

Elif Tan

İsmail Gök

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Published

2019-01-08

Issue

Vol. 13

Section

Vol. 13, No. 1, (2019)

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