الفهرس 
IntroductionOnly 14 pages are availabe for public view
 |  | from | 217 |  |  |
| | | from | 217 | | |
Abstract
In this thesis, we define some new subclasses of analytic (univalent and multivalent) functions defined by using linear operators, and the Hadamard product in the open unit disc. We obtain some applications of first order differential subordination, superordination and sandwich results for analytic functions involving certain linear operators. Also, we study some properties of certain classes of p-valent functions associated with new integral operators and some inclusion relationships for analytic functions and we introduce and study some classes of harmonic functions and also we obtain the Fekete-Szegö inequalities for functions in special subclasses.
This thesis consists of five chapters:-
Chapter 1:
This chapter is an introductory chapter and contains basic concepts, definitions and preliminary results which are essential for completing the results and techniques used in subsequent chapters.
Chapter 2:
This Chapter consists of four sections.The first section contains the definitions of the linear operator and the classes and
In section2.2.We obtain some results of differential superordinations by using linear operator.
In section2.3. We obtain some applications on differential subordination, superordination and sandwich results involving the operator
In section2.4. We obtain some applications of theory of differential subordination, superordination and sandwich results for function classes defined with respect to symmetric points associated with Dziok-Srivastava operator.
Chapter 3:This Chapter consists of four sections.
In section3.1,we study new generalized integral operators and for valent Robertson functions. These operators are investigated
In section 3.2, we introduce new general integral operators for -valent functions associated with generalized multiplier transformations.
In section 3.3, we give several inclusion relationships for -valent function classes, which are associated with the linear operator and we present several integral-preserving properties of the function classes.
In section3.4, we investigate a family of integral operators defined on the space of univalent meromorphic functions.
Chapter 4:This Chapter consists of two sections.
In section 4.1, we used the modified Salagean integral operator to define the classes of harmonic functions and We obtain coefficient conditions, extreme points, distortion bounds, convolution conditions and convex combinations for this class.
In section 4.2, we used the modified Wright operator to define the classes of harmonic functions and We obtain coefficient conditions, extreme points, distortion bounds, convolution conditions and convex combinations for this class.
Chapter 5:This Chapter consists of two sections.
In the firstsection contains the definition of the class Also, in this section, we obtain Fekete-Szegö inequalities for functions in this class.
In section 5.2 contains the definition of the classes and Also, in this section, we obtain Fekete-Szegö inequalities for functions in these classes.
Key words (not more than Ten):
Analytic functions,differential subordinations, superordinations,integral operators, harmonic functions, Fekete-Szegö inequalities.