الفهرس | Only 14 pages are availabe for public view |
Abstract In this thesis, by using of the principle of subordination between analytic functions, we study various properties of subordination, superordination, sandwich theorems, subordinating factor sequences, inclusion relationships and argument estimates for some new classes associated with various operators. Chapter 1 is an introductory chapter and contains basic concepts, definitions and preliminary results which are necessary for understanding the next chapters. In Chapter 2 we study the classes of p-valent analytic functions defined with the linear operator Dziok-Srivastava and we obtain subordination and inclusion properties involving the operator (by using a method based upon the principle of the Briot-Bouquet differential subordination ), coefficients estimate and other properties of the studied classes. Chapter 3 contains two kinds of sandwich results for the images of analytic functions by an integral operator introduced by S. Shams, S.R. Kulkarni and J.M. Jahangiri in 2004. In Chapter 4 we investigate some inclusion relationships and argument properties of certain meromorphically p-valent functions associated with new family of linear operators. Chapter 5 by making use of the principle of subordination between analytic functions, we study various properties for several new classes of analytic functions. Also, we obtain the subordinating factor sequences for the classes of β-uniformly convex and β-uniformly starlike functions. |