الفهرس | Only 14 pages are availabe for public view |
Abstract The purpose of this thesis is to introduce and study some new classes of analytic functions defined in the open unit disc These classes are defined by using new linear operators, differential operators and Hadamard product (or convolution). This thesis consists of four chapters. Chapter 1, In this chapter we give preliminaries of complex analysis which are used in the subsequent chapters and consists of four sections. Chapter 2,This chapter consists of five sections. The first is an introductory section and contains the definition of the class .Also, we introduce coefficient estimates, distortion theorems, radii of convexity and starlikeness and theorems involving modified Hadamard products for functions in the class . Chapter 3, This chapter consists of four sections. The first is an introductory section and also, contains the definition of the operator . Also, Inclusion properties of classes associated with the operator and Inclusion properties of classes associated with the generalized Libera integral operator are obtained. And also, we define the new differential operator , where and be a fixed point in . Chapter 4, This chapter consists of four sections. The first is an introductory section and contains the definition the integral operator . Subordination, superordination and sandwich results for analytic functions defined by using the integral operator . By using the Hadamard product ( or convolution ) of and we define the class |