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#1 2013-02-14 08:14:16
- Bishmay
- Member
- Registered: 2013-02-14
- Posts: 2
Analytic function: Please help!!!
Check for analyticity: f(z)= 1/(1-z^4)
Please show the steps... Should I start with z= x+iy or take rcoso +i sino????
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#2 2013-02-14 08:35:10
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Analytic function: Please help!!!
Hi;
Aren't rational functions analytic away from their poles?
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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#3 2013-02-14 08:51:28
- Bishmay
- Member
- Registered: 2013-02-14
- Posts: 2
Re: Analytic function: Please help!!!
Hi,
The complex function is given and it is asked to check whether it is analytic or not... But I am confused how to proceed
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#4 2013-02-14 09:25:49
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Analytic function: Please help!!!
Hi;
Your poles are
1, -1, i, -i
A rational function is analytic at each point of its domain. Does that help a bit? What is the domain of your function?
Last edited by bobbym (2013-02-14 09:27:34)
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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