little Picard theorem


The range of a nonconstant entire functionMathworldPlanetmath is either the whole complex planeMathworldPlanetmath , 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