Second Hankel determinant for logarithmic inverse coefficients of strongly convex and strongly starlike functions

TL;DR

This paper establishes sharp bounds for the second Hankel determinant related to logarithmic inverse coefficients in strongly starlike and strongly convex functions of a certain order, advancing the understanding of these function classes.

Contribution

It provides the first precise bounds for the second Hankel determinant in these classes, extending previous work on inverse coefficient problems.

Findings

Sharp bounds for the second Hankel determinant are derived.

Results apply specifically to strongly starlike and strongly convex functions of order alpha.

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 strongly starlike and strongly convex functions of order alpha.