# More Complex Analysis-Removable Singularity

1. Jun 15, 2010

### WannaBe22

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

Hope you'll be able to help me

2. Relevant equations

3. The attempt at a solution

2. Jun 15, 2010

### Count Iblis

Hint: Consider Log[f(z)].

3. Jun 16, 2010

thanks!