SHARP BOUNDS ON HANKEL DETERMINANTS FOR CERTAIN SUBCLASS OF STARLIKE FUNCTIONS

Abstract

The main objective of this paper is to study coefficient problems for starlike functions located in the petal shaped domain. The bounds of the first three initial coefficients, bounds of Fekete-Szegö type inequality, estimates of the second and third Hankel determinants for the subclass of starlike functions are derived, all of these bounds are sharp.