On a subclass of quasi-convex functions with fixed second coefficient

Abstract

In this paper, we introduce the concept of quasi-convex functions by considering a subclass [Formula: see text] of normalized analytic functions in the unit disk [Formula: see text] for some convex function [Formula: see text] with fixed second coefficient of order [Formula: see text], such that [Formula: see text] We obtain results on growth and distortion theorems and radius of convexity.