Bloch’s theorem
Let f be an holomorphic function on a region containing the closure of the disk D={z∈ℂ:|z|<1}, such that f(0)=0 and f′(0)=1. Then there is a disk S⊂D such that f is injective on S and f(S) contains a disk of radius 172.
Title | Bloch’s theorem |
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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 |