Bloch’s theorem

Let $f$ be an holomorphic function on a region containing the closure of the disk , such that $f(0)=0$ and $f^{\prime }(0)=1$. Then there is a disk $S\subset D$ such that $f$ is injective on $S$ and $f(S)$ contains a disk of radius $\frac{1}{72}$.

Title	Bloch’s theorem
Canonical name	BlochsTheorem
Date of creation	2013-03-22 13:15:17
Last modified on	2013-03-22 13:15:17
Owner	Koro (127)
Last modified by	Koro (127)
Numerical id	5
Author	Koro (127)
Entry type	Theorem
Classification	msc 32H02