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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: 1,421
Registered: 12/12/04
Re: Elementary complex analysis
Posted: Mar 6, 2013 12:28 AM
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<Tonicopm@yahoo.com> wrote in message
news:92565c99-59ad-42c8-bcc8-b0ec4ed7fc2d@googlegroups.com...
> 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 ??


OP thinks so.





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