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Thread: Complex analysis

  1. December 20th 2011, 09:22 PM #1
    sinichko
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    Complex analysis

    Help me please!

    a)Let f:B(a,r)\rightarrow B(f(a),R) be an analytical function/ Prove that \forall z\in B(0,r) \left | f(z+a)-f(a) \right |\leqslant \frac{R}{r}\left | z \right |.

    b) Show that from a) we can get Liouville's theorem

    Thanks a lot!
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  2. December 21st 2011, 01:40 AM #2
    girdav
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    Re: Complex analysis

    Did you try Cauchy's integral formula?
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