1. complex problem

let f: D--> D be holomorophic with f(0)=1/2 and f(1/2)=0, where D={z/ |z|<or=1}

is it possible to prove that |f '(0)|< or = 3/4

2. Re: complex problem

Any holomorphic function is infinitely differentiable and equal to its own Taylor series. Maybe that will get you somewhere.

3. Re: complex problem

can you please tell me the other possible bounds other than this.
thank u