Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#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????

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,431

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.

Offline

#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

Offline

#4 2013-02-14 09:25:49

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,431

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 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.

Offline

Board footer

Powered by FluxBB