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Math Help - Bounded entire function a polynomial?

  1. #1
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    Bounded entire function a polynomial?



    Is this proof sufficient? The only thing I'm not sure about is creating an infinite series for |f(z)|. Seems like a big assumption.
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  2. #2
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    That proof is correct. If f is entire then it has a power series expansion with infinite radius of convergence, so your initial assumption is justified.
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