residues and the cauchy residue theorem

Residues and Cauchy Residue Theorem

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

{% b_1 = \frac{1}{2 \pi i} \int_C f(z)dz %}

{% \int_C f(z)dz = 2 \pi i b_1 %}