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More Complex Analysis-Removable Singularity

  1. Jun 15, 2010 #1
    1. The problem statement, all variables and given/known data
    Let f be analytic in the region [tex] (z:0<|z-a|<r) [/tex] and isn't defined at [tex]z=a[/tex].
    Prove that if there is a neighborhood of z=a where [tex] Re f(z)>0 [/tex] then z=a is a removable singularity of f.


    Hope you'll be able to help me
    Thanks in advance

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 15, 2010 #2
    Hint: Consider Log[f(z)].
     
  4. Jun 16, 2010 #3
    thanks!
     
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