Second Hankel Determinant for Logarithmic Inverse Coefficients of Convex and Starlike Functions

TL;DR

This paper establishes sharp bounds for the second Hankel determinant of logarithmic inverse coefficients specifically for starlike and convex functions.

Contribution

It provides the first precise bounds for this determinant in the context of these function classes, advancing geometric function theory.

Findings

Sharp bounds for the second Hankel determinant are derived.

Results are specific to logarithmic inverse coefficients of starlike and convex functions.

The bounds are proven to be optimal.

Abstract

In this paper, we obtain the sharp bounds of the second Hankel determinant of logarithmic inverse coefficients for the starlike and convex functions.