Transactions of the American Mathematical Society

Author(s): E. Haliloglu
Journal: Trans. Amer. Math. Soc. 349 (1997), 2901-2916.
MSC (1991): Primary 30C45; Secondary 33C45
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$\begin{displaymath}E=\{x+iy: \frac {x^{2}}{(5/4)^{2}}+ \frac {y^{2}}{(3/4)^{2}}<1 \}.\end{displaymath}$

Let

denote the class of functions $F(z)$

analytic and univalent in $E$

and satisfying the conditions $F(0)=0$

and

. In this paper, we obtain global sharp bounds for the Faber coefficients of the functions $F(z)$

in certain related classes and subclasses of $S(E).$

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