الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
IN this thesis we studied fundamental and important topics of complex analysis, which is:
A study on differential subordination for some classes of analytic functions in the unit disk.
The thesis consists of six chapters as follows: -
Chapter I
This chapter is an introductory chapter and it contains the definitions, notations and lemmas used throughout the thesis.
Chapter II:
Contains the results of differential subordination with a linear operator which is given in the first chapter.
Chapter III:
Includes the study of partial classes of multivalued analytic functions by taking advantage of the principle of differential subordination and Cătas operator defined in the first chapter.
In addition to proof the results of differential subordination and superordination, convolution properties, inclusions relations, distortion theorems, inequality properties and sufficient conditions for multivalent starlikeness.
Chapter IV:
Contains a study on classes of the following multivalent analytic functions.
Chapter V:
We study a class of pre-starlike functions.
Chapter VI:
Contains a class study of functions.