Bivariate Hybrid Leonardo polynomials

This thesis consists of three main parts. In the first chapter, basic definitions of Fibonacci, Lucas, Leonardo and Hybrid Numbers and basic theorems about these numbers are given. Binet formulas and generating functions of these numbers and the relationship between them are given. In the second part, Fibonacci Polynomials, Leonardo Polynomials, and Hybrid Leonardo Polynomials are given. Fundamental theorems regarding these polynomials and bivariate Fibonacci Polinomials, bivariate Leonardo Polinomials are given. Related to these, the Q matrix, Binet formula, and Cassini identity is given. In the third chapter, bivariate Hybrid Leonardo Polynomials are defined. Afterwards, the recurrence relation of bivariate Hybrid Leonardo Polynomial is defined. Binet formula, Generating function, sum formula, Cassini identity, Q matrix have been defined regarding this polynomial.