So let f be analytic in the open unit disk and continuous on the closed unit disk. Also, |f(z)|=1 for |z|=1, all zeros are simple zeros at 0, and f'(0)=-1/2.(adsbygoogle = window.adsbygoogle || []).push({});

I need to find f.

I've tried using the cauchy integral formula for f' but that's not getting me anywhere. Can anyone point me in the right direction?

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# Comlplex analysis problem

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