Horadam $2^{k}$-Ions

Authors : Melih GÖCEN, Yüksel SOYKAN

Pages : 492-501

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Publication Date : 2019-10-15

Article Type : Research Paper

Abstract :In this paper, we generalize Fibonacci quaternion, octonion, sedenion, trigintaduonion, etc. and define Horadam $2^{k}$-ions and investigate their properties. Each Horadam insert ignore into journalissuearticles values(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