Inclusion Properties with Applications for Certain Subclasses of Analytic Functions

Some properties and results for certain subclasses of starlike and convex functions

In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $;  meromorphic and starlike  functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

A certain convolution approach for subclasses of univalent harmonic functions

In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.  

Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator

In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We  estimate the coefficients $|a_{2} |$ and  $|a_{3} |$ for functions in these new subclasses. Several  consequences of the result are also pointed out.

Inclusion properties of certain subclasses of analytic functions defined by a multiplier transformation

The purpose of the present paper is to introduce new subclasses of analytic functions and to investigate inclusion properties of these classes, using the principle of subordination. Also inclusion properties of these classes involving the generalized integral operator are obtained. Mathematical Subject Classification: 30C45