Third Hankel determinant for α-starlike functions

Abstract

In this paper we investigate the third Hankel determinant, H_3 (1) for normalized univalent functions f(z)=z+a_2 z^2+⋯ belonging to the class of α-starlike functions denoted by M_α. This class includes two i9mportant subclasses of the family of univalent functions-starlike and convex functions denoted by S^* and C. Our results therefore includes the special cases of the third Hankel determinants for the two classes of functions