little Picard theorem
The range of a nonconstant entire function
is either the whole complex plane
, or the complex plane with a single point removed.
In other words, if an entire function omits two or more values, then it is a constant function.
| Title | little Picard theorem |
|---|---|
| Canonical name | LittlePicardTheorem |
| Date of creation | 2013-03-22 13:15:20 |
| Last modified on | 2013-03-22 13:15:20 |
| Owner | Koro (127) |
| Last modified by | Koro (127) |
| Numerical id | 5 |
| Author | Koro (127) |
| Entry type | Theorem |
| Classification | msc 32H25 |