On A Subclass of Close-to-Convex Functions

TL;DR

This paper introduces a new subclass of close-to-convex functions within the open unit disk, providing inclusion relationships, coefficient bounds, and Fekete-Szego inequalities to extend previous results.

Contribution

It defines a specific subclass of close-to-convex functions and derives new inclusion, coefficient, and inequality results that extend prior work.

Findings

Established inclusion relationships for the subclass

Derived coefficient estimates for functions in the subclass

Proved Fekete-Szego inequality for the subclass

Abstract

In this paper, we introduce a subclass of close-to-convex functions defined in the open unit disk. We obtain the inclusion relationships, coefficient estimates and Fekete-Szego inequality. The results presented here would provide extension of those given in earlier works.