Abstract
is schlicht in the unit circle. This will be disproved in the following lines. Let D be the image of the unit circle by w— J^f avz We denote by the symbols 5, 2 and K the classes of such power series for which D is schlicht, schlicht and star-shaped, schlicht and convex, respectively. Evidently KCZCS. Observe now that X)* z(E.K. By a recent result concerning de la Vallee Poussin means [2, p. 298] we conclude that
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