On an integral operator for convex univalent functions

On Integral Operator and Argument Estimation of a Novel Subclass of Harmonic Univalent Functions

Abstract. In this paper we define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions of the form f = h + ¯g and investigate some properties of this subclass e.g. necessary and sufficient coefficient bounds, extreme points, distortion bounds and Hadamard product.Abstract. In this paper we define and verify a subclass of harmonic univalent func...

Convex and Starlike Univalent Functions

The Komatu Integral Operator and Strongly Close-to-convex Functions

In this paper we introduce some new subclasses of strongly closeto-convex functions de…ned by using the Komatu integral operator and study their inclusion relationships with the integral preserving properties. Theorem[section] [theorem]Lemma [theorem]Proposition [theorem]Corollary Remark

Sufficient Inequalities for Univalent Functions

In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.

Generating Starlike and Convex Univalent Functions

Alexander [1] was the first to introduce certain subclasses of univalent functions examining the geometric properties of the image f(D) of D under f . The convex functions are those that map D onto a convex set. A function w = f(z) is said to be starlike if, together with any of its points w, the image f(D) contains the entire segment {tw : 0 ≤ t ≤ 1}. Thus we introduce the denotations S = {f ∈...