March 23rd, 2018, 05:54 AM  #1 
Senior Member Joined: Jan 2016 From: Blackpool Posts: 100 Thanks: 2  Poles question
Find the poles of the $\frac{z}{z^4+1}$ For this question will the poles be the value of z for which z^4+1=0?

March 23rd, 2018, 06:21 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,098 Thanks: 1905 
You seem to have omitted a word, but yes.

March 23rd, 2018, 07:22 AM  #3  
Senior Member Joined: Sep 2016 From: USA Posts: 534 Thanks: 306 Math Focus: Dynamical systems, analytic function theory, numerics  Quote:
\[f(z) = \frac{\sin(\pi z^4)}{1+z^4} \] which does not have any poles.  

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