Preprint Article Version 1 This version is not peer-reviewed

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 (doi: 10.20944/preprints201906.0303.v1). Göcen, M.; Soykan, Y. Horadam 2k-ions. Preprints 2019, 2019060303 (doi: 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.

Subject Areas

quaternions, octonions, sedenions, Horadam numbers, Fibonacci quaternion, Cayley-Dickson algebra

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