الفهرس | Only 14 pages are availabe for public view |
Abstract This thesis presents differential subordination, superordination, sandwich results and inclusion relationships for analytic functions in open unit disc in the complex plane and in the punctured unit disc which are associated with different operators. Some of the results established in this thesis would provide extensions and improvement of those given in earlier works. The thesis consists of four chapters. First 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.. In second chapter we give some subordination and convolution properties of certain subclasses of p-valent meromorphic functions which are defined by using the new linear operator . Chapter 3 contains some inclusion relationships of certain class of p-valent functions which are defined by using the new linear operator . Further, a property preserving integrals is considered. In chapter 4 we gives some applications of first order differential subordination, superordination and sandwich results for higher-order derivatives of p-valent functions involving a generalized new differential operator . Some of our results improve and generalize previously known results. |