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**almost there****Member**- Registered: 2009-11-11
- Posts: 21

I need to show that a holomorphic map f: D(0,1)---> D(0,1) exists such that f(1/2)=3/4 and such that f'(1/2)=2/3. No clue

*Last edited by almost there (2010-05-28 05:03:06)*

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**Ricky****Moderator**- Registered: 2005-12-04
- Posts: 3,791

You want to use Schwarz's lemma.

"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."

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