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March 23rd, 2018, 04:54 AM   #1
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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?
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March 23rd, 2018, 05:21 AM   #2
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You seem to have omitted a word, but yes.
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March 23rd, 2018, 06:22 AM   #3
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Quote:
Originally Posted by Jaket1 View Post
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?
In this example the poles are exactly what you have described. However, it seems you have found the poles by examining where the denominator is zero which does not work in general. For example take
\[f(z) = \frac{-\sin(\pi z^4)}{1+z^4} \]
which does not have any poles.
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