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Complex Analysis: What is f(1-4i)?

  1. May 5, 2012 #1
    Suppose f is an entire function and, for every z in the complex plane, |f'(z) - (2 + 3i)| ≥ 0.00007.
    Suppose also that f(0) = 10 + 3i and f'(7+ 9i) = 1 + i. What is f(1 - 4i)?
  2. jcsd
  3. May 5, 2012 #2


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    What have you tried?

    Where are you stuck?
  4. May 5, 2012 #3
    Not really sure where to start, any help pointing me in the right direction would be great. I've done a somewhat similar problem where I proved that the function was constant, so that f equals the same value at all points, but that is not the case with this function.
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