Sevtap Sümer Eker

Some applications of a subordination theorem for a class of analytic functions

Abstract By making use of a subordination theorem for analytic functions, we derive several subordination relationships between certain subclasses of analytic functions which are defined by means of the Sălăgean derivative operator. Some interesting corollaries and consequences of our results are also considered.

Inclusion and neighborhood properties for certain classes of multivalently analytic functions of complex order associated with the convolution structure

Making use of the familiar convolution structure of analytic functions, in this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order. Among the various results obtained here for each of these function classes, we derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the class introduced here.

A certain convolution approach for subclasses of analytic functions with negative coefficients

Making use of the familiar convolution structure of analytic functions, in this study we introduce and investigate a new subclass of analytic functions, whose Taylor–Maclaurin coefficients from the second term onwards are all negative. We derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the general class, which we have introduced and studied in this article.

A New Subclass of Analytic Functions Involving Al-Oboudi Differential Operator

The main object of this paper is to introduce and investigate a new subclass of normalized analytic functions in the open unit disc which is defined by Al-Oboudi differential operator. Coefficient inequalities, extreme points, and integral means inequalities for fractional derivative for this class are given.

On Subordination Result Associated with Certain Subclass of Analytic Functions Involving Salagean Operator

We obtain an interesting subordination relation for Salagean-type certain analytic functions by using subordination theorem.

On

Abstract In this paper, defining new interesting classes, λ-pseudo bi-starlike functions with respect to symmetrical points and λ-pseudo bi-convex functions with respect to symmetrical points in the open unit disk U, we obtain upper bounds for the initial coefficients of functions belonging to these new classes.

\lambda

The main object of this paper is to introduce and investigate new subclasses of normalized analytic functions in the open unit disc , which generalize the familiar class of k-starlike functions. The various properties and characteristics for functions belonging to these classes derived here include (for example) coefficient inequalities, distortion theorems involving fractional calculus, extreme points, integral operators and integral means inequalities.

-pseudo bi-starlike and

For analytic and multivalent functions f(z) and p(z) in the open unit disk U, a subordination theorem due to Littlewood (1925) which was called the integral mean is applied. Some simple examples for our results are also considered.

\lambda

Abstract.The aim of the present paper is to show some properties of functions belonging to the class (k, n, α)−