Bloch’s theorem

Let f be an holomorphic functionMathworldPlanetmath on a region containing the closure of the disk D={z:|z|<1}, such that f(0)=0 and f(0)=1. Then there is a disk SD such that f is injective on S and f(S) contains a disk of radius 172.

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