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#1 2013-02-15 07:14:16

Bishmay
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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????

#2 2013-02-15 07:35:10

bobbym
Administrator

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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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#3 2013-02-15 07:51:28

Bishmay
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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

#4 2013-02-15 08:25:49

bobbym
Administrator

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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 (2013-02-15 08:27:34)


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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