Third Hankel determinant for alpha-starlike functions

Source abstract

In this paper we investigate the third Hankel determinant, H3(1), for normalized univalent functions f(z) = z + a2 z2 + ... belonging to the class of α-starlike functions denoted by Mα. This class includes two important 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.