Properties of some harmonic function classes defined by subordination method

This thesis study contains five sections. In the first section, general knowledge are presented. Basic knowledge about complex, analitic and univalent functions are presented in second section. Important definitions and theorems for harmonic functions utilized in our research presented in third section. In fourth section of the thesis four separate studies are presented. In the first study, some properties of the harmonic function class that m-fold and definded by Salagean operator and in the second study some properties of harmonic function that defined by q-differation operator like necessary and sufficient Hadamard product conditions, distortion theorems and extreme points are analyzed. In the third study, q-harmonic conditions of the subclass that defined by q-Poisson distribution is investigated. In the fourth study, (p,q)-harmonic conditions of subclasses that defined by (p,q)-Poisson distributions are investigated. In the fifth part, some conclusions reached in the thesis are given.