A note on close-to-convex functions.

A Note on Convex Functions

In this paper, we give twoweak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.

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

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 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 + ∞...