31 citations · 40 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
On Tribonacci and Tribonacci-Lucas Quaternion Polynomials
Gamaliel Cerda-Morales
In this paper, we introduce the Tribonacci and Tribonacci-Lucas quaternion polynomials. We obtain the Binet formulas, generating functions and exponential generating functions of t…