Generalized Fibonacci and Lucas matrix hybrinomials

This thesis consists of four chapters. In the first chapter, the literature review, basic definitions and theorems are given. In the second chapter, the definition of generalized Fibonacci matrix hybrinomial, Binet formula, generating function and some summation formulas are examined. In the third chapter, firstly, the generalized Lucas matrix polynomial is defined and the Binet formula, generating function, some summation formulas of this matrix polynomial is obtained. Later, the generalized Lucas matrix hybrinomial is defined. Also, The Binet formula, generating function and some summation formulas of this matrix hybrinomial is investigated. In the fourth and final chapter, the conclusions and suggestions section is given.