The Subordination Relation And Inclusion Relation Of Some Classes Of Univalent Functions

This paper focuses on the subordination relation, inclusion relation, starlike image condition and negative coefficient question of the univalent functions. The first chapter in this paper deals with the subordination relation and inclusion relation of univalent functions. When Reα>0, -1≤B≤1, A≠B, A∈R,λ∈C, definesget the inclusion relation and subordination relation of C(λ,α,A,B,g(z)). The second chapter is concerned with negative coefficient question. A new analytic function class p*(n, λ, α) is introduced to obtain its coefficient estimate, distortion theorem and extreme points. In chapter three, the starlike image condition and subordination relation of the univalent functions are explored. If the real part of the function satisfies some certain conditions, we obtain the starlike function and one subordination relation.