COEFFICIENT INEQUALITY FOR CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS

Aini Janteng (Malaysia), Suzeini Abdul Halim (Malaysia) and Maslina Darus (Malaysia)

Abstract

Let  be an analytic and univalent function in the unit disk D = {z : |z|< 1}.  The purpose of the present paper is to introduce the functional  when m is real. We give sharp upper bounds for  for certain subclasses of univalent functions. The results obtained are sharp.

Keywords and phrases: Fekete-Szegö functional, Hankel determinant, real positive and starlike functions.