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    Analytic Functions

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    Show that if f in analytic in {z: |z| < 1} and if Im f(1/k)=0 for all k=2,3... then Im f(x)=0 for -1<x<1.

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    Proof. Since f is analytic in {z:|z|<1}, we can write f(z) as

    Solution Summary

    Analytic Functions are investigated.