Ο inU. Let U is open and simply connected in C, and let z i If f:U→ D is an analytic isomorphism such that f(z) = 0 show that fis determined uniquely by the condition 8. Let U is open and simply connected in C, and let zo EU. If f: UD is an analytic isomorphism such that f(zo) = 0 show that f is determined uniquely by the condition f'(zo) > 0.
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