Sets of Univalence in Some Classes of Analytic Functions

Application of the Norm Estimates for Univalence of Analytic Functions

By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.

Univalence Criterion for Analytic Functions

In this paper, we obtain a new univalence criterion for analytic functions defined outside of the unit disk. Relevant connections of the results, which are presented in this paper with various known results are also considered. 2000 Mathematics Subject Classification: Primary 30C45.

On Pre-θ-Open Sets and Two Classes of Functions

On Sandwich theorems for certain classes of analytic functions

The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

Some Relations between Certain Classes of Analytic Functions

In the present paper we introduce and studied two subclasses of multivalent functions denoted by M λ p,n(γ ;β) and N λ p,n(μ ,η ;δ ) . Further, by giving specific values of the parameters of our main results, we will find some connection between these two classes, and moreover, several consequences of main results are also discussed. Mathematics subject classification (2010): 30C45.