Horadam $2^{k}$-Ions
Authors : Melih Göcen, Yüksel Soykan
Pages : 492-501
View : 15 | Download : 4
Publication Date : 2019-10-15
Article Type : Research
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