الفهرس | Only 14 pages are availabe for public view |
Abstract ”The main objective of this thesis is to define and study properties for classes of univalent, multivalent and meromorphic functions defined in the open unit disc and in the punctured unit disc in the complex plane. These classes are defined by using some q-operators. Content of the thesis in five chapters as follow : Chapter one : Is an introductory chapter contains some basic definitions and notations required to the subsequent chapters. Chapter two : Contains definitions of classes of analytic univalent and bi-univalent functions also multivalent functions for which, initial bounds for functions in these classes are obtained. Chapter three: Contains definitions of new classes of analytic functions negative coefficients for which various geometric properties are obtained.Chapter four: This chapter concerning classes of meromorphic univalent functions related to different q-difference operators and study various properties for these classes. Chapter five : Contains classes of meromorphic functions by using principle of subordination and the q-difference operators and find necessary and sufficient condition for coefficients of functions F to belong to these classes.” |