let f be an analytic function and inside positivity oriented unit circle -y such that $|f(z)-z|<1$ on y then.
which of the following is correct?
4) f has at least one zero in $C$
By Schwarz lemma I can say that $f(z) = az$ where $a<1$ and $f'(z) < 1$ so my answer is option 1 and 4
Is it correct pliz tell me....
Any hints or solution can be appreciated