Let
be a function analytic on a simple Jordan curve
and at all the interior points, excepted at
. The **residue** of
at
, denoted Res[
] is the complex number;

Res |

We compute a Laurent series expansion for which is convergent on an annulus centered at -1.

Therefore .

How to compute quickly residues?

Res

Res

Res

Res

Noah Dana-Picard 2007-12-24