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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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bacle

Posts: 838
From: nyc
Registered: 6/6/10
Re: Elementary complex analysis
Posted: Mar 5, 2013 1:46 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
> s 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

Isn't this Liouville's Theorem?

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