(adsbygoogle = window.adsbygoogle || []).push({}); 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 [tex] f(0)=101 [/tex] and:

[tex] Re f(z) \geq 100 + Im(z) [/tex] . Then [tex] f(i)=102 [/tex] .

2. There exists an analytic function f from the unit circle to itself which satisfy:

[tex] f(\frac{i}{3})=\frac{1}{2} [/tex] , [tex]f(\frac{1}{2}) = \frac{i}{3} [/tex].

Hope you'll be able to help me

Thanks

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Complex Analysis-Entire Functions

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