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#1 2015-11-14 00:28:29

Maximoff
Member
Registered: 2015-10-23
Posts: 10

Singularities and Residue

Can anyone help me on this matter?

The function f(z) has a double pole at z=0 with residue=2 and a simple pole at z=1 also with residue=2.
It is also analytic at all other finite points of the plane and is bounded as |z| -> infinity.
Also f(z=2)=5 and f(z=-1)=2.
Determine the f(z).

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I tried by using the Taylor and Laurent Series but when I solve the function back, it given me not the exact value from the above statement.

Thanks.

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#2 2015-11-14 05:26:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Singularities and Residue

Hi;

The best I could find was

The limit of the absolute value of f(z) as z approaches infinity is 1 so as far as I understand it is bounded as z approaches infinity.

If you show your work with Taylor and Laurent series I could check.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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