Study on a New Family of Close-to-Convex Functions in a Vertical Strip Involving Subordination and Convolution

Abstract

In this present paper,we consider a subclass of close-to-convex functions associated with a vertical strip domain. We obtain several results concerned with integral coefficient inequalities,convolutions, and representations  for functions belonging to this class $ \mathbf{MC_c}$.
Furthermore, we consider  the Fekete-Szego, inclusion relations and  radius problems involving certain classes of strongly close-to-convex functions, parabolic close-to-convex functions, and other types of close-to-convex functions.