31 citations · 118 across the 26 of their papers we have counts for
27 papers
Introduction to generalized Leonardo-Alwyn hybrid numbers
Gamaliel Cerda-Morales
In \cite{Go}, Gökbaş defined a new type of number sequence called Leonardo-Alwyn sequence. In this paper, we consider the generalized Leonardo-Alwyn hybrid numbers and investigate…
On some Properties of Generalized Tribonacci Spinors
Gamaliel Cerda-Morales
Spinors are used in physics quite extensively. The goal of this study is also the spinor structure lying in the basis of the quaternion algebra. In this paper, first, we have intro…
On Generalized Bihyperbolic Third-order Jacobsthal Polynomials
Gamaliel Cerda-Morales
In this paper, a new generalization of third-order Jacobsthal bihyperbolic polynomials is introduced. Some of the properties of presented polynomials are given. A Vadja formula for…
Third-order -Jacobsthal matrix sequence: Another way of demonstrating their properties
Gamaliel Cerda-Morales
Recently, Cerda-Morales \cite{Ce6} introduced commutative matrices derived from the third-order Jacobsthal matrix sequence and the third-order Jacobsthal--Lucas matrix sequence. In…
A note on Modified Third-order Jacobsthal numbers
Gamaliel Cerda-Morales
Modified third-order Jacobsthal sequence is defined in this study. Some properties involving this sequence, including the Binet-style formula and the generating function are also p…
New Identities for Padovan Numbers
Gamaliel Cerda-Morales
In \cite{Choi-Jo}, the () subscripted Tribonacci numbers are studied. This work is devoted to study a new generalization of Fibonacci numbers called Padovan numbe…
Oresme Polynomials and Their Derivatives
Gamaliel Cerda-Morales
We study the problem of generalization of Oresme numbers with a new sequence of numbers called Oresme polynomials. Moreover, by using the matrix methods for Oresme polynomials, we…
Special Matrices Associated with Generalized Fibonacci Numbers
Gamaliel Cerda-Morales
In \cite{Ka}, the authors obtained a method for deriving special matrices, whose powers are related to Fibonacci and Lucas numbers. In the study, it has been developed a method for…
On the third-order Horadam and geometric mean sequences
Gamaliel Cerda-Morales
This paper, in considering aspects of the geometric mean sequence, offers new results connecting generalized Tribonacci and third-order Horadam numbers which are established and th…
On the third-order Horadam matrix sequences
Gamaliel Cerda-Morales
In this paper, we first give new generalizations for third-order Horadam and generalized Tribonacci sequence…
The Gelin-Cesàro identity in some third-order Jacobsthal sequences
Gamaliel Cerda-Morales
In this paper, we deal with two families of third-order Jacobsthal sequences. The first family consists of generalizations of the Jacobsthal sequence. We show that the Gelin-Cesàro…
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-…
Bicomplex Third-order Jacobsthal Quaternions
Gamaliel Cerda
The aim of this work is to consider the bicomplex third-order Jacobsthal quaternions and to present some properties involving this sequence, including the Binet-style formulae and…
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…
A Three-by-Three matrix representation of a generalized Tribonacci sequence
Gamaliel Cerda-Morales
The Tribonacci sequence is a well-known example of third order recurrence sequence, which belongs to a particular class of recursive sequences. In this article, other generalized T…
Quadratic Approximation of Generalized Tribonacci Sequences
Gamaliel Cerda-Morales
In this paper, we give quadratic approximation of generalized Tribonacci sequence defined by Eq. (\ref{eq:7}) and use this result to give the matrix form of th…
On the third-order Jacobsthal and third-order Jacobsthal-Lucas sequences and their matrix representations
Gamaliel Cerda-Morales
In this paper, we first give new generalizations for third-order Jacobsthal and third-order Jacobsthal-Lucas …
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…
Identities involving Narayana numbers
Gamaliel Cerda-Morales
Narayana's cows problem is a problem similar to the Fibonacci's rabbit problem. We define the numbers which are the solutions of this problem as Narayana's cows numbers. Narayana's…
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…
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…