On the Second Hankel determinant of Logarithmic Coefficients for certain univalent functions

TL;DR

This paper establishes sharp bounds for the second Hankel determinant of logarithmic coefficients in certain classes of univalent functions, specifically starlike and convex functions, enhancing understanding of their coefficient behavior.

Contribution

It provides the first sharp bounds for the second Hankel determinant of logarithmic coefficients for these classes of univalent functions.

Findings

Sharp bounds for the second Hankel determinant established.

Results apply to starlike and convex functions.

Advances coefficient inequality theory in geometric function theory.

Abstract

In this paper, we investigate the sharp bounds of the second Hankel determinant of Logarithmic coefficients for the starlike and convex functions with respect to symmetric points in the open unit disk.