Certain Class of Close-to-Convex Univalent Functions

Abstract

The purpose of this paper was to define a new class of close-to-convex function, denoted by CV(δ,α), which is a subclass of all functions that are univalent in D and have positive coefficients normalized by the conditions f(0)=0, f′(0)=1, if it satisfies such a condition that is dependent on positive real part. Furthermore, we proved how the power series distribution is essential for determining the sufficient and necessary condition on any function f in class CV(δ,α).