Thread: 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

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

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