A problem in Mr.Stein's Complex analysis,page 250, ex12（a）,how to prove :$f:D\rightarrow D$ is holomorphic,and has two distinct fixed points,then f is identity.
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What is $D$ and what are your ideas? – Arnaud Mortier Jun 22 '18 at 13:16
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@ArnaudMortier sorry， my mistakes，D is the unit disc. – user561425 Jun 22 '18 at 13:28
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(First Google hit for “unit disk holomorphic two fixed points” ...) – Martin R Jun 22 '18 at 13:45