Generalized gould-hopper polynomials

This thesis consists of five chapters. The first chapter is devoted to the introduction. In the second chapter, preliminary information and some definitions and lemmas to be used in other chapters are given. In the third chapter, Gould-Hopper polynomials and generalized Gould-Hopper polynomials are introduced, summation formulas for generalized Gould-Hopper polynomials are obtained and their applications are given. In addition, the theorems that give the bilinear and bilateral generating functions of this polynomial are obtained and the applications of these theorems are given. Later, some recurrence relations and some properties of these polynomials are obtained. In the fourth chapter, bilateral generating function relations between generalized Gould-Hopper polynomials and generalized Lauricella functions are given. Finally, special cases are examined. In the fifth chapter, results and suggestions are given.