Orthogonal polynomials

Combinatorics

Discrete mathematics

Classical orthogonal polynomials

Mathematics

Fibonacci polynomials

Mathematical analysis

Lucas sequence

Fibonacci number

Pisano period

Generalization

Lucas number

Complex Variables and Elliptic Equations

The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we introduce and study the Fibonacci and Lucas hybrinomials, i.e. polynomials, which are a generalization of the Fibonacci hybrid numbers and the Lucas hybrid numbers, respectively.

Introduction to Fibonacci and Lucas hybrinomials