Sharp Estimates on Coefficient functionals of Ozaki close-to-convex functions

TL;DR

This paper derives optimal bounds for coefficient functionals such as the Hermitian-Toeplitz determinant and Schwarzian derivatives for Ozaki close-to-convex functions, advancing the understanding of their geometric properties.

Contribution

It provides the best possible estimates for various coefficient functionals of Ozaki close-to-convex functions, including logarithmic coefficients and Schwarzian derivatives.

Findings

Established sharp bounds for Hermitian-Toeplitz determinants.

Derived optimal estimates for initial logarithmic inverse coefficients.

Provided bounds for initial Schwarzian derivatives.

Abstract

The goal of this manuscript to establish the best possible estimate on coefficient functionals like Hermitian-Toeplitz determinant of secoend order involving logarithmic coefficients, initial logarithmic inverse coefficients and initial order Schwarzian derivatives of the Ozaki close-to-convex functions.