Certain properties of a new subclass of close-to-convex functions

On certain new subclass of close-to-convex functions

Dedicated to Professor H. M. Srivastava on the Occasion of his Seventieth Birth Anniversary

Certain Properties of a New Subclass of Meromorphic Close-to-convex Functions

MSC 2010 Classifications: Primery: 30C45.

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...

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