Bicomplex k-Fibonacci quaternions

Fügen Torunbalcı Aydın

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arXiv · 1810.05003

Bicomplex k-Fibonacci quaternions

Fügen Torunbalcı Aydın

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Abstract

In this paper, bicomplex k-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex k-Fibonacci quaternions which are connected with bicomplex numbers and k-Fibonacci numbers are investigated. Furthermore, the Honsberger identity, the d'Ocagne's identity, Binet's formula, Cassini's identity, Catalan's identity for these quaternions are given.

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Fügen Torunbalcı Aydın. 2018-10-02. Bicomplex k-Fibonacci quaternions. https://arxiv.org/abs/1810.05003

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