| In this thesis,we deal with e starlike mappings class and E starlike mappings class in several complex variables,including the upper bounds of some order items of homogeneous expansion for one special e starlike mappings ,the upper bounds of the second order item of homogeneous expansion for E starlike mappings and the upper bounds of some order items for one special E starlike mappings.This thesis includes three chapters.In the first chapter,we introduce some denotes, definitions and lemmas used in the thesis and main rusults of this thesis briefly.In the second chapter,on the unit ball B~n,we obtain the upper bounds and some properties of some order items of homogeneous expansion for one special ε starlike mappings.In chapter three,we get the upper bounds and some properties of the second order item of homogeneous expansion for E starlike mappings as well as some order items for one special E starlike mappings.The main results of this thesis are based on the theories of convex mappings and starlike mappings,our work make these theories more completely. |