Math Is Fun Forum
Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#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 
Last edited by almost there (2010-05-28 05:03:06)
Offline
#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..."
Offline
Pages: 1