Serap Bulut

Sufficient conditions for univalence of an integral operator defined by Al-Oboudi differential operator.

We investigate the univalence of an integral operator defined by Al-Oboudi differential operator.

A New General Integral Operator Defined by Al-Oboudi Differential Operator

We define a new general integral operator using Al-Oboudi differential operator. Also we introduce new subclasses of analytic functions. Our results generalize the results of Breaz, Güney, and Sălăgean.

The generalization of the generalized Al-Oboudi differential operator

In this paper, firstly we define the generalization of the generalized Al-Oboudi differential operator. Then we also define new classes of analytic and p-valently starlike and convex functions with complex order by means of this new general differential operator. Our main purpose is to determine coefficient bounds for functions in certain subclasses of this classes, which are introduced here by means of a family of nonhomogeneous Cauchy-Euler differential equations. Relevant connections of some of the results obtained with those in earlier works are also provided.

Starlikeness of General Integral Operator for Meromorphic Multivalent Functions

We introduce a new integral operator for meromorphic multivalent functions. The starlikeness condition of this integral operator is determined. Several special cases are also discussed in the form of corollaries.

Coefficient Inequalities for Certain Subclasses of Analytic Functions Defined by Using a General Derivative Operator

In this paper, we define new classes of analytic functions using a general derivative operator which is a unification of the S˘ al˘ agean derivative operator, the Owa- Srivastava fractional calculus operator and the Al-Oboudi operator, and discuss some coefficient inequalities for functions belong to this classes.

Univalency and Convexity Conditions for a General Integral Operator

For analytic functions and in the open unit disc , a new general integral operator is introduced. The main objective of this paper is to obtain univalence condition and order of convexity for this general integral operator.

Neighborhood Properties for Certain Subclasses of Analytic Functions of Complex Order with Negative Coefficients

In the present investigation, by making use of the familiar concept of neighbor- hoods of analytic and multivalent functions, we prove several inclusion relations associated with the (n;-)-neighborhoods of certain subclasses of analytic functions of complex order, which are introduced here by means of the Al-Oboudi derivative. Several special cases of the main results are mentioned.

Neighborhoods of Certain Multivalently Analytic Functions

We introduce and investigate two new general subclasses of multivalently analytic functions of complex order by making use of the familiar convolution structure of analytic functions. Among the various results obtained here for each of these function classes, we derive the coefficient bounds, distortion inequalities, and other interesting properties and characteristics for functions belonging to the classes introduced here.

Coefficient Bounds for Certain Subclasses of Analytic Functions Defined by Komatu Integral Operator

We determine the coeffcient bounds for functions in certain subclasses of analytic functions of complex order, which are introduced here by means of a certain non-homogeneous Cauchy–Euler type differential equation of order m. Relevant connections of some of the results obtained with those in earlier works are also provided.

A New Subclass of Analytic Functions Defined by Generalized Ruscheweyh Differential Operator

We investigate a new subclass of analytic functions in the open unit disk which is defined by generalized Ruscheweyh differential operator. Coefficient inequalities, extreme points, and the integral means inequalities for the fractional derivatives of order of functions belonging to this subclass are obtained.