الفهرس 
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Abstract
This theists mainly of five chapters. Chapter 1. This chapter is an introductory chapter and contains basic concepts, definitions and preliminary results which are absolutely essential for completing the results and techniques used in subsequent chapters. Chapter 2. This chapter consists of three sections:Section 2.1. This section contains the definitions of the classes and of β-Uniformly with respect to symmetric points. Section 2.2 and Section 2.3. In these sections, we study Coefficient estimates, Distortion theorems, Extreme points, Radii of close-to-convexity, starlikeness and convexity and integral operators. Chapter 3.This chapter consists of two sections: Section 3.1. This section contains the definition of the class as follows : Section 3.2. In this section, we study Coefficient estimates, Distortion theorems, convex linear combinations, Radii of close-to-convexity, A family of integral operator and partial sums. Chapter 4. This chapter consists of three sections : Section 4.1. This section contains the introductions of the bi-univalent functions. Section 4.2. In this section, we study coefficient bounds for the functions classes. Section 4.3. In this section, we study coefficient bounds for the functions classes. Chapter 5. This chapter consists of two sections : Section 5.1. This section contains the introductions of the Bessel functions and definition of two classes. Section 5.2. In this section, we study main results and their consequences for two classes.