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# On $H_3(1)$ Hankel determinant for some classes of univalent functions

10/2009; 6.
Source: arXiv

ABSTRACT

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. Comment: 7 pages. To appear as book chapter in "Inequality Theory and Application". Eds: S. S. Dragomir and Y. J. Cho

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• "and |H 3 (1)| ≤ 0.7422, respectively. These inequalities are sharp and coincide with the results of Babalola [5]. "
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