1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: More Complex Analysis-Removable Singularity