31 citations · 118 across the 26 of their papers we have counts for
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A note on dual third order Jacobsthal vectors
Gamaliel Cerda-Morales
Dual third order Jacobsthal and dual third order Jacobsthal-Lucas numbers are defined. In this study, we work on these dual numbers and we obtain the properties e.g. some quadratic…
The Third Order Jacobsthal Octonions: Some Combinatorial 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…
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…
Some Properties of Horadam quaternions
Gamaliel Cerda-Morales
In this paper, we consider the generalized Fibonacci quaternion which is the Horadam quaternion sequence. Then we used the Binet's formula to show some properties of the Horadam qu…
On a Generalization for Tribonacci Quaternions
Gamaliel Cerda-Morales
Let denote the third order linear recursive sequence defined by the initial values , and and the recursion if $n\g…
Identities for third order Jacobsthal quaternions
Gamaliel Cerda-Morales
In this paper we introduce the third order Jacobsthal quaternions and the third order Jacobsthal-Lucas quaternions and give some of their properties. We derive the relations betwee…
On the properties of new families of generalized Fibonacci numbers
Gamaliel Cerda-Morales
In this paper, new families of generalized Fibonacci and Lucas numbers are introduced. In addition, we present the recurrence relations and the generating functions of the new fami…