Introduction to Third-Order Jacobsthal and Modified Third-Order Jacobsthal Hybrinomials

Abstract

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
• 11b37
• 11b39