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arXiv · 1812.00781

Hyperbolic k-Fibonacci Quaternions

Fugen Torunbalci Aydin
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Abstract

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

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BibTeXRIS

Fugen Torunbalci Aydin. 2018-11-29. Hyperbolic k-Fibonacci Quaternions. https://arxiv.org/abs/1812.00781

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