little Picard theorem
LittlePicardTheorem
2002-12-11 10:17:56
2003-11-13 09:55:18
Theorem
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The range of a nonconstant entire function is either the whole complex plane $\mathbb{C}$, 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.