Removable Singularity: Is it the Same as a Simple Pole?

  • #1

MMS

148
4
Hi guys,

Is it right to say that a simple pole (pole of order 1) is a removable singularity (and vice versa)?
 
  • #2
MMS said:
Hi guys,

Is it right to say that a simple pole (pole of order 1) is a removable singularity (and vice versa)?
No. A pole of order 1 is not removable. Think about the integral of 1/z on the unit circle.
 
  • #3
I realized it as soon as I posted this thread and forgot to delete it.

Anyway, thank you!
 

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