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#1 2010-05-28 05:02:50

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

Holomorphic self-map on D(0,1)

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 dunno

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

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#2 2010-05-31 12:05:59

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

Re: Holomorphic self-map on D(0,1)

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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