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arXiv · 1802.05897

The generalized bi-periodic Fibonacci quaternions and octonions

Elif Tan·Murat Şahin·Semih Yılmaz
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Abstract

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.

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Elif Tan, Murat Şahin, Semih Yılmaz. 2018-02-16. The generalized bi-periodic Fibonacci quaternions and octonions. https://arxiv.org/abs/1802.05897

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