The Hankel determinant for a function having power series was rst dened by Pommerenke.
The growth of Hankel determinant has been evaluated for dierent subcollections of
univalent functions. Many subclasses with bounded turning have several interesting geometric
properties. In this paper, some classes of functions with bounded turning which connect to the
sine functions, are studied in the region of the unit disc in order. Our purpose is to obtain some
upper bounds for the third and fourth Hankel determinants related to such classes.