Mathematics – Complex Variables
Scientific paper
2009-10-20
Mathematics
Complex Variables
7 pages. To appear as book chapter in "Inequality Theory and Application". Eds: S. S. Dragomir and Y. J. Cho
Scientific paper
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.
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