  Focus in this paper is on the Hankel determinant, $H_3(1)$, for the
well-known classes of bounded-turning, starlike and convex functions in the
open unit disk $E=\{z\in \mathbb{C}\colon|z|<1\}$. The results obtained
complete the series of research works in the search for sharp upper bounds on
$H_3(1)$ for each of these classes.
