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Injective Holomorphic function
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Polam

Frequent VisitorJoined: 03 Nov 2003Posts: 333

Posted: Thu Dec 09, 2004 8:22 pm    Post subject: Injective Holomorphic function

Let D be the closed unit disc in the complex plane, and U be an open neighborhood of D. Suppose f is a function holomophic on U that is injective when restricted to the boundary of D. Show that f is actually injective on D.

Any ideas?

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