3 papers
math.GM2025
On higher order Horadam 3-parameter generalized quaternions
Gamaliel Morales
Recently, Kuloğlu {\it et al.} \cite{Kul} introduced the higher order Horadam numbers. In this study, novel 3-parameter generalized quaternion sequences of higher order Horadam num…
math.GM2025
Generalization of Gaussian third-order Jacobsthal numbers and their new families
Gamaliel Morales
In this study, we introduce the generalized Gaussian third-order Jacobsthal numbers with arbitrary initial values and discuss two particular cases, namely, Gaussian third-order Jac…
math.RA2025
Third-order Jacobsthal -Parameter Generalized Quaternions
Gamaliel Morales
The purpose of this article is to bring together the third-order Jacobsthal numbers and 3-parameter generalized quaternions, which are a general form of the quaternion algebra acco…