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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Elementary complex analysis
Replies: 19   Last Post: Mar 9, 2013 11:35 AM

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Paul

Posts: 258
Registered: 7/12/10
Elementary complex analysis
Posted: Mar 5, 2013 1:29 PM
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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

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