# little Picard theorem

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.

Title little Picard theorem LittlePicardTheorem 2013-03-22 13:15:20 2013-03-22 13:15:20 Koro (127) Koro (127) 5 Koro (127) Theorem msc 32H25