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    Complex / Entire Function : Let f be an entire function such that |f(z)| =<10|z+1| for all |z|>100. Show that f is a linear function, f(z)= pz + q.

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    Let f be an entire function such that |f(z)| =<10|z+1| for all |z|>100

    Show that f is a linear function, f(z)= pz + q.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:42 pm ad1c9bdddf
    https://brainmass.com/math/complex-analysis/57333

    Solution Summary

    A proof for a complex / entire function is provided. The solution is detailed and well presented.

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