Date: Mar 5, 2013 1:29 PM
Author: Paul
Subject: Elementary complex analysis

I suspect there's a theorem about entire complex functions f which have the property that the absolute value of f(z) tends to infinity as the absolute value of z tends to infinity.  What does this theorem say?  I don't know of any such functions besides polynomials of degree >= 1.  Is it the case that the set of  functions which have this property is just the set of polynomials of degree >= 1.  Thank you.

Paul Epstein