Geodesic
Introduction to Third-Order Jacobsthal and Modified Third-Order Jacobsthal Hybrinomials
Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 1, pp. 139-152

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The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we introduce and study the third-order Jacobsthal and modified third-order Jacobsthal hybrinomials, i.e., polynomials, which are a generalization of the Jacobsthal hybrid numbers and the Jacobsthal-Lucas hybrid numbers, respectively.
Keywords: third-order Jacobsthal numbers, recurrence relations, complex numbers, hyperbolic numbers, dual numbers, polynomials 
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Cerda-Morales, Gamaliel. Introduction to Third-Order Jacobsthal and Modified Third-Order Jacobsthal Hybrinomials. Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 1, pp. 139-152. http://geodesic.mathdoc.fr/item/DMGAA_2021_41_1_a11/