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Residue f'/f

  • Thread starter luke1001
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  • #1
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Homework Statement



Let f has a zero of multiplicity k at 0.

Find the residue of f'/f at 0

The Attempt at a Solution



I'm kind of get stuck on this one. I got only this far: Since f has a zero of multiplicity k at 0, then f(z) = (z^k)g(z) :(

Thanks a lot for helping!
 

Answers and Replies

  • #2
matt grime
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What is the definition of the residue at 0?
 
  • #3
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What is the definition of the residue at 0?
hmm, do you mean f is analytic at 0?
 
  • #4
matt grime
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You're attempting to find the residue at zero. It would seem like a good starting point to write down the definition(s) of the residue at zero - if you don't know what to find you will never find it.
 

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