Sharp Estimates for the Zalcman Conjecture and Second Order Hankel Determinant

Audy Hatim Saheb

Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq.

E-mail: pure.aday.saheb@uobabylon.edu.iq

Abstract

In this work, we found sharp estimates for the Zalcman conjecture and second order Hankel determinant for the inverse function when it belongs to the class of starlike functions with respect to symmetric points, denoted by . These results are new.

Keyword: Univalent function, regular function; Mobius transformation; close-to-convex; bi-univalent; Hankel Determinant; Zalcman conjecture.