الفهرس 
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Abstract
this thesis, we define new subclasses of analytic (univalent and multivalent) functions defined by using linear operators and the Hadamard product in the open unit disc and in the punctured unit disc We obtain the necessary and sufficient conditions of Gaussian hypergeometric functions to be in various subclasses of univalent and p-valent functions. Also, several mapping properties for convolution and integral convolution involving hypergeometric functions are investigated. Further, let and , respectively, denote the subclasses of which are real parts bounded in the mean on by , bounded boundary rotation at most and bounded argument at most . We study some properties of certain classes of p-valent functions associated with generalized fractional differintegral operator and some inclusion relationships for analytic functions. Convolution properties for some subclasses of meromorphic, q-meromorphic functions of complex order and meromorphic bounded functions of complex order are considered. Fekete-Szegö inequalities for p-valent q-starlike and q-convex functions of complex order are also derived. Furthermore, we obtain some applications of second order differential subordination, superordination and sandwich results for analytic functions involving generalized fractional differintegral operator. Finally, subordination and superordination preserving integral operators associated with p-valent functions are obtained. 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. In this chapter, we obtain necessary and sufficient condition of Gaussian hypergeometric functions to be in various subclasses of univalent and p-valent functions. Also, we investigate several mapping properties for convolution and integral convolution involving hypergeometric functions. Chapter 3. Using the operator and the operator associated with generalized fractional differintegral operator, we introduce and study subclasses of meromorphic p-valent functions and subclasses of p-valent functions. Also, we introduce new integral operators associated with generalized fractional differintegral operator and investigate some properties for the integral operators and to be in the classes and of functions of bounded boundary rotations and bounded arguments. Chapter 4. Making use of different operators for functions we introduce subclasses of meromorphic and q-meromorphic functions and investigate convolution properties, coefficient estimates and containment properties for these subclasses. Chapter 5. In this chapter, we obtain Fekete-Szegö inequalities for classes of analytic p-valent q-starlike and q-convex functions. Sharp bounds for are also obtained. Chapter 6. For p-valent functions associated with generalized fractional differintegral operator, we study different properties of differential subordination, superordination and sandwich results related to this operator. Inclusion relations for functions in the class and the images of these functions by the generalized Bernardi-Libera-Livingston integral operator are also considered. Chapter 7. In this chapter, we obtain subordination, superordination and sandwich type results related to certain family of p-valent integral operators. Also, an application of the subordination and superordination theorems to the Gaussian hypergeometric function are considered. Our results generalize some previously well-known sandwich-type theorems.