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Residue f'/f

  1. May 5, 2009 #1
    1. The problem statement, all variables and given/known data

    Let f has a zero of multiplicity k at 0.

    Find the residue of f'/f at 0

    3. 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!
     
  2. jcsd
  3. May 5, 2009 #2

    matt grime

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    What is the definition of the residue at 0?
     
  4. May 5, 2009 #3
    hmm, do you mean f is analytic at 0?
     
  5. May 5, 2009 #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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