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

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Scott Berg

Posts: 2,111
Registered: 12/12/04
Re: Elementary complex analysis
Posted: Mar 5, 2013 3:32 PM
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"Paul" <> wrote in message
>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

f(z) = 1/z ?

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