Cauchy Integral Formula

Overview


Formula


{% f(z_0) = \frac{1}{2 \pi i} \int_C \frac{f(z)dz}{z-z_0} %}

Extension


{% \frac{d^n f(z_0)}{dz^n} = \frac{n!}{2 \pi i} \int_C \frac{f(z)dz}{(z-z_0)^{n+1}} %}