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#1 2013-02-14 08:14:16

Bishmay
Member
Registered: 2013-02-14
Posts: 2

Check for analyticity: f(z)= 1/(1-z^4)

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#2 2013-02-14 08:35:10

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

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

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

Hi;

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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