31 citations · 41 across the 11 of their papers we have counts for
4 papers · 2 filters
Third-order Jacobsthal Generalized Quaternions
Gamaliel Cerda-Morales
In this paper, the third-order Jacobsthal generalized quaternions are introduced. We use the well-known identities related to the third-order Jacobsthal and third-order Jacobsthal-…
The unifying formula for all Tribonacci-type octonions sequences and their properties
Gamaliel Cerda-Morales
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many different way…
Investigation of Generalized Hybrid Fibonacci Numbers and Their Properties
Gamaliel Cerda-Morales
In \cite{Oz}, M. Özdemir defined a new non-commutative number system called hybrid numbers. In this paper, we define the hybrid Fibonacci and Lucas numbers. This number system can…
Dual Third-order Jacobsthal Quaternions
Gamaliel Cerda-Morales
In 2016, Yüce and Torunbalcı Aydın \cite{Yuc-Tor} defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jac…