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

Abstract

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 H3,1(f) obtained in the paper are improved.

Keywords

• Hankel determinant
• close-to-convex functions
• Schwarz functions