On a subclass of close-to-convex functions

On a Subclass of Meromorphic Close-to-Convex Functions

The main purpose of this paper is to introduce and investigate a certain subclass of meromorphic close-to-convex functions. Such results as coefficient inequalities, convolution property, inclusion relationship, distortion property, and radius of meromorphic convexity are derived.

On a subclass of close-to-convex functions

In this paper the authors studied the coefficient estimate of a class of functions starlike with respect to k-symmetric points defined by derivative operators D n λ introduced by Al-Shaqsi and Darus [6]. The integral representation and several coefficient inequalities of functions belonging to this class are obtained. 1 Introduction Let A denote the class of functions of the form: f (z) = z + ∞...

On a Subclass of Multivalent Close to Convex Functions

Certain Results on a Subclass of Close-to-convex Functions

Abstract. In this paper we introduce and study a subclass of close-to-convex functions defined in the open unit disk. We establish the inclusion relationship, coefficient estimates and some sufficient conditions for a normalized function to be in our classes of functions. Furthermore, we discuss Fekete-Szegő problem for a more generalized class. The results presented here would provide extensio...

On certain subclass of meromorphic close-to-convex functions

In this paper we introduce and investigate a certain subclass of functions which are analytic in the punctured unit disk and meromorphically close-to-convex. The sub-ordination property, inclusion relationship, coefficient inequalities, distortion theorem and a sufficient condition for our subclass of functions are derived. The results presented here would provide extensions of those given in e...