Coefficient, Distortion and Growth Inequalities for Certain Close-to-Convex Functions

TL;DR

This paper studies subclasses of close-to-convex functions, providing estimates for the Fekete-Szeg"o functional, distortion, growth, and covering theorems to deepen understanding of their geometric properties.

Contribution

It introduces new bounds and estimates for subclasses of close-to-convex functions, enhancing the theoretical framework of geometric function theory.

Findings

Fekete-Szeg"o functional estimates for specific subclasses

Distortion and growth bounds established

Covering theorems proved for close-to-convex functions

Abstract

In the present investigation, certain subclasses of close-to-convex functions are investigated. In particular, we obtain an estimate for the Fekete-Szeg\"o functional for functions belonging to the class, distortion, growth estimates and covering theorems.