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Math Help - Complex Analysis an entire function

  1. #1
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    Complex Analysis an entire function

    Help me please with this one:

    Let f(z) be an entire function and:

    \left | f(2z)-f(z) \right |\leq c \forall z\in \mathbb{C}.
    Prove that f is constant.

    Thanks!
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  2. #2
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    Re: Complex Analysis an entire function

    if f(z) is entire, so does f(2z)-f(z)
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  3. #3
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    Re: Complex Analysis an entire function

    Quote Originally Posted by xxp9 View Post
    if f(z) is entire, so does f(2z)-f(z)
    Thanks, but how to prove it?
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  4. #4
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    Re: Complex Analysis an entire function

    Quote Originally Posted by sinichko View Post
    Thanks, but how to prove it?
    dONE, THANKS!
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