# Complex analysis

• December 20th 2011, 09:22 PM
sinichko
Complex analysis

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!
• December 21st 2011, 01:40 AM
girdav
Re: Complex analysis
Did you try Cauchy's integral formula?