# Homework Help: Complex Analysis-Entire Functions

1. Jun 19, 2010

### WannaBe22

1. The problem statement, all variables and given/known data
Prove Or find a proper counterexample:
1. Let f be an entire function such as $$f(0)=101$$ and:
$$Re f(z) \geq 100 + Im(z)$$ . Then $$f(i)=102$$ .

2. There exists an analytic function f from the unit circle to itself which satisfy:
$$f(\frac{i}{3})=\frac{1}{2}$$ , $$f(\frac{1}{2}) = \frac{i}{3}$$.

Hope you'll be able to help me

Thanks

2. Relevant equations
3. The attempt at a solution

2. Jun 19, 2010

### Office_Shredder

Staff Emeritus
You have to show what you've attempted to do on the problem before we can help you