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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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W^3

Posts: 28
Registered: 4/19/11
Re: Elementary complex analysis
Posted: Mar 5, 2013 2:03 PM
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In article <167de975-ed92-4c50-b750-2d95fdff2d4f@googlegroups.com>,
Paul <pepstein5@gmail.com> wrote:

> 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

Yes it is.

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