Some Properties of Dual Fibonacci and Dual Lucas Octonions

On dual Horadam octonions

“…Halıcı [7] considers the dual Fibonacci octonions and the dual Fibonacci quaternions, she investigates some properties of them. In [16], authors investigate properties of dual Fibonacci and dual Lucas octonions.…”

“…which is given in [16], it is given in the second row of the Table 1 (see below). 2 , we have the Binet formula for dual Lucas octonions L m = (1 + ελ)λ λ m + (1 + εγ)γ γ m which is given in [16]. It can be seen in the third row of the Table 1.…”

“…(iv) From the definition (7), the multiplication Table in [16] and the definition of dual Horadam sequences, we obtain…”

“…(v) Using the definition of OH m and the multiplication Table in [16], it is easy to get the identity required. (vi) By employing (iv) and (v), the result immediately follows.…”

Dual Jacobsthal ve Dual Jacobsthal-Lucas Sedeniyonlar Üzerine

“…In [Cariow and Cariowa, 2015], the authors derived an algorithm for the fast multiplication of two sedenions. In [Bilgici, et al, 2017], the authors defined as the following the Fibonacci and Lucas sedenions over the sedenion algebra S . The famous Fibonacci numbers are second order recursive relation and used in various disciplines.…”