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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: 86,493

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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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: 86,493

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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