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Thread: bound for complex nth derivative

  1. #1
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    bound for complex nth derivative

    Hello,
    I need help in the following problem:
    Suppose f is holomorphic in U = {z: |z|<1} and |f(z)|\leq \frac{1}{1-|z|} for all z in U. Find an inequality for the nth derivative of f at 0, i.e. f^{(n)}(0)
    Thank you
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    Senior Member Tinyboss's Avatar
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