الفهرس 
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Abstract
The main purpose of this thesis is to define and study characterizations for classes of univalent, p-valent, and meromorphic analytic functions defined in the open unit disc. These classes defined by using differential and integral new operators. Furthermore we study properties classes of uniformly starlike functions, harmonic functions and some inclusion results.This thesis comprises of six chapters: Chapter 1. This chapter is a preface that includes definitions which will be used in this thesis and it consists of four sections. Section 1.1. Includes the notations and standard definitions of univalent , p-valent functions and related transformations. Section 1.2. Contains harmonic functions. Section 1.3. Contains some basic concepts of meromorphic univalent and p-valent functions. Section 1.4. Contains definitions of subordination, majorization principles and lemma of Wilf. Chapter 2. characterizations for classes of uniformly starlike functions. This chapter consists of four sections. Section 2.1. Is an introductory section in which. Section 2.2. In this section we obtained coefficient estimate theorem and characterization for the first class. Section 2.3. We introduced new theorems for modified Hadamard product belong to the first class and partial sums . Section 2.4. Subordinating results. Chapter 3. Classes of meromorphic functions defined by p-valent operator. This chapter consists of three sections. Section 3.1. Is an introductory section. Section 3.2. We obtain coefficient estimate theorem and characterizations for first class . Section 3.3. We obtain inclusion results. Chapter 4. Majorization for classes of meromorphic functions This chapter consists of three sections. Section 4.1. Is an introductory section. Section 4.2. We investigated a majorization problem for the first class. Section 4.3. We investigated a majorization problem for the second class. Chapter 5. Classes of harmonic starlike functions. This chapter consists of three sections. Section 5.1. Is an introductory section. Section 5.2. We obtained results for the first class defined by q- Ruscheweyh operator of harmonic functions . Section 5.3. We obtained results for the second class defined by (p,q)- Ruscheweyh operator of harmonic functions. Chapter 6. Some inclusion results. This chapter consists of three sections. Section 6.1. Is an introductory section in which, we obtained subclasses of univalent functions defined by differential and integral operators using Hadamard product. Section 6.2. We obtained some inclusion results of subclasses of univalent functions defined by the differential operator. Section 6.3. We obtained some inclusion results of subclasses involving the generalized Libera integral operator .