On Certain Subclasses of Analytic Functions Defined by Differential Subordination

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

On some properties of certain subclasses of analytic functions defined by using the subordination principle

In this paper, we introduce some new subclasses of analytic functions related to starlike, convex, close-to-convex and quasi-convex functions defined by using a generalized operator and the differential subordination principle. Inclusion relationships for these subclasses are established. Moreover, we introduce some integral-preserving properties. Key-Words: Starlike function; Convex function; ...

Some Subclasses of Analytic Functions Defined by Generalized Differential Operator

Let A denote the class of analytic functions in the open unit disk U = {z : |z| < 1} normalized by f(0) = f ′(0) − 1 = 0. In this paper, we introduce and study certain subclasses of analytic functions. Several inclusion relations of various subclasses of analytic functions, coefficient estimates , growth and distortion theorems, Hadamard Product, extreme points, integral means and inclusion pro...

On Certain Subclasses of Analytic Functions of Complex Order Defined by Generalized Hypergeometric Functions

Abstract. By making use of the generalized hypergeometric functions, in this paper we introduce and investigate certain new subclasses of analytic functions of complex order defined in the open unit disk. Coefficient inequalities, radii of close-to-convexity, starlikeness and convexity, closure theorems, integral means inequalities and several relations associated with (n, δ)-neighborhood for t...

On Subordination Results for Certain New Classes of Analytic Functions Defined by Using Salagean Operator

In this paper we derive several subordination results for certain new classes of analytic functions defined by using Salagean operator.