Article
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Horadam 2k-ions
Version 1
: Received: 27 June 2019 / Approved: 29 June 2019 / Online: 29 June 2019 (10:32:29 CEST)
How to cite: Göcen, M.; Soykan, Y. Horadam 2k-ions. Preprints 2019, 2019060303. https://doi.org/10.20944/preprints201906.0303.v1 Göcen, M.; Soykan, Y. Horadam 2k-ions. Preprints 2019, 2019060303. https://doi.org/10.20944/preprints201906.0303.v1
Abstract
In this paper, we generalize Fibonacci quaternion, octonion, sedenion, trigintaduonion, etc. and define Horadam 2^{k}-ions and investigate their properties. Each Horadam (such as Fibonacci, Lucas, Pell) quaternions, octonions and sedenions are Horadam 2^{k}-ions. We also present connection to some earlier works.
Keywords
quaternions, octonions, sedenions, Horadam numbers, Fibonacci quaternion, Cayley-Dickson algebra
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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