Jacobsthal Representation Hybrinomials

Abstract

Jacobsthal numbers are a special case of numbers defined recursively by the second order linear relation and for these reasons they are also named as numbers of the Fibonacci type. They have many interpretations, representations and applications in distinct areas of mathematics. In this paper we present the Jacobsthal representation hybrinomials, i.e. polynomials, which are a generalization of Jacobsthal hybrid numbers.

Keywords

• jacobsthal numbers
• recurrence relations
• complex numbers
• hyperbolic numbers
• dual numbers
• polynomials
• 11b37
• 11b39