Abstract

Let S denote, as usual, the class of normalized schlicht functions and let F denote the class of analytic functions in the open unit disk D, having no fixed point there. We prove the following covering theorem: For every function f.g, f ∊ S, g ∊ F , the image covers at least the open disk . As shown in the proof below, the class S can be replaced by a larger class S 0.

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