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I need super help on a complex analysis problem.

  1. Dec 28, 2006 #1
    1. The problem statement, all variables and given/known data

    Is there a Laurent Series for Log(z) in the Annulus 0<|z|<1?

    2. Relevant equations

    Go here for the Theorem. It is theorem 7.8:

    www.math.fullerton.edu/mathews/c2003/LaurentSeriesMod.html

    (copy and paste the link below if you are having problems. Exclude the "" in the link below): http://math....on this would be most apperciated it. THanx.
     
    Last edited: Dec 28, 2006
  2. jcsd
  3. Dec 28, 2006 #2

    Hurkyl

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    No it isn't. It's not even continuous on the set of all nonzero z.
     
  4. Dec 28, 2006 #3
    I forgot I was looking at the principal branch LOG function, which is not analytic on the negative real axis. Thanx anyways.
     
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