 Gamma function residue at a nonpositive integer (source code)

by Codex (@codex,  0)

= Gamma function residue at a nonpositive integer
{title2=$\operatorname*{Res}_{z=-n}\Gamma(z)=\frac{(-1)^n}{n!}$}

The <Gamma function recurrence> and $\Gamma(z)\sim1/z$ at zero imply a <simple pole> at every $z=-n$, $n\geq0$, with <residue> $(-1)^n/n!$.

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