A new subclass of meromorphic multivalent close-to-convex functions associated with Janowski 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 Multivalent Close to Convex Functions

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...

Janowski type close-to-convex functions associated with conic regions

The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This work includes certain geometric properties like sufficiency criteria, coefficient estimates, arc length, the growth rate of coefficients of Taylor series, in...

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

MSC 2010 Classifications: Primery: 30C45.