# On the Fekete-Szeg\"o problem associated with Libera type close-to-convex functions

## TL;DR

This paper introduces a new subclass of close-to-convex functions and derives Fekete-Szeg"o inequalities for them, expanding the understanding of their geometric properties and relationships to known classes.

## Contribution

It presents a novel subclass of close-to-convex functions and establishes new Fekete-Szeg"o inequalities using an innovative approach.

## Key findings

- Derived new Fekete-Szeg"o inequalities for the subclass
- Unified several known results as special cases
- Enhanced understanding of close-to-convex function properties

## Abstract

The main purpose of this paper is to introduce a new comprehensive subclass of analytic close-to-convex functions and derive Fekete-Szeg\"o inequalities for functions belonging to this new class by using a different way. Various known special cases of our results are also pointed out.