Horadam $2^{k}$-Ions

Year 2019, Volume: 7 Issue: 2, 492 - 501, 15.10.2019

Melih Göcen , Yüksel Soykan

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

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