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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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,723

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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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
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,723

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

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