Find all holomorphic funtion $f:B(0,1)\mapsto B(1,4)$ s.t. $f(0)=3$ and $f(1/2)=1$
$B(a,r)$ is the open ball with centre a and radius r.
I think that maybe Schwarz lemma will help, but dont know how. Thanks!
2026-03-26 16:10:35.1774541435
Find all holomorphic functions that satisfy a condition
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Try for example: $$ f(z)=4\cdot\frac{2z-1}{z-2}+1 $$ which is also a bijection.