Complex analysis 1/(z-w)^4

  • Thread starter Ant farm
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  • #1
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Main Question or Discussion Point

Oh god, so confused and panicked today:cry:
I know this is a very basic question, but, givin the function 1/(z-w)^4

does this have one pole of order 4, or possibly 4 poles of order 1...???

Also, could you please clarify,
''to get the zero's of a function, set the numerator = 0''
''to get the poles of a function, set the denominator = 0''
is this correct??
 

Answers and Replies

  • #2
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(z-w)^4 is 0 iff z=w. So, it has one pole at w.

I always though when the denominator was 0 it was referred to as a singularity?
 
  • #3
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as yes, right you are, and a pole is one of the three types of singularity... removable, pole and essential!
 

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