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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.GM2024
Unrestricted modified third-order Jacobsthal quaternions
Gamaliel Morales
In this study, we introduce a new class of quaternions associated with the well-known modified third-order Jacobsthal numbers. There are many studies about the quaternions with spe…