Improved Upper Bounds of the Third-Order Hankel Determinant for Ozaki Close-to-Convex Functions

LetN be the class of functions that convex in one direction and M denote the class of functions zf'(z) , where f ? N. In the paper, the third-order Hankel determinants for these classes are estimated. The estimates of H-3,H-1(f) obtained in the paper are improved.

Automated summary

This paper investigates the classes of functions N (convex in one direction) and M (zf'(z), where f ? N) and provides estimates for the third-order Hankel determinants of these functions. The obtained estimates for H-3,H-1(f) in the paper are improved.