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