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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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J. Antonio Perez M.

Posts: 2,736
Registered: 12/13/04
Re: Elementary complex analysis
Posted: Mar 5, 2013 9:37 PM
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On Tuesday, March 5, 2013 10:32:38 PM UTC+2, AMeiwes wrote:
> "Paul" <pepstein5@gmail.com> wrote in message
>
> news:167de975-ed92-4c50-b750-2d95fdff2d4f@googlegroups.com...
>
> >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 ?



Do you think |1/z| --> oo when |z| --> oo ??

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