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

 Messages: [ Previous | Next ]
 J. Antonio Perez M. Posts: 2,736 Registered: 12/13/04
Re: Elementary complex analysis
Posted: Mar 5, 2013 9:37 PM

On Tuesday, March 5, 2013 10:32:38 PM UTC+2, AMeiwes wrote:
> "Paul" <pepstein5@gmail.com> 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 ?

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

Date Subject Author
3/5/13 Paul
3/5/13 bacle
3/5/13 W^3
3/5/13 Scott Berg
3/5/13 J. Antonio Perez M.
3/6/13 Scott Berg
3/6/13 Frederick Williams
3/6/13 Robin Chapman
3/6/13 David C. Ullrich
3/6/13 Paul
3/7/13 AP
3/7/13 David C. Ullrich
3/7/13 William Hughes
3/8/13 quasi
3/8/13 William Hughes
3/8/13 quasi
3/8/13 AP
3/8/13 David C. Ullrich
3/8/13 W^3
3/9/13 David C. Ullrich