1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook