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arXiv · 1704.02865

Algebraic properties of bi$-$periodic dual Fibonacci quaternions

Fatma Ateş·Ismail Gök·Nejat Ekmekci
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Abstract

The purpose of the paper is to construct a new representation of dual quaternions called bi$-$periodic dual Fibonacci quaternions. These quaternions are originated as a generalization of the known quaternions in literature such as dual Fibonacci quaternions, dual Pell quaternions and dual $k-$Fibonacci quaternions. Furthermore, some of them have not been introduced until this time. Then, we give generating function, Binet formula and Catalan's identity in terms of these quaternions.

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Fatma Ateş, Ismail Gök, Nejat Ekmekci. 2017-03-25. Algebraic properties of bi$-$periodic dual Fibonacci quaternions. https://arxiv.org/abs/1704.02865

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