Double pole
= Double pole
A double pole is a <pole> of order two. If $f(z)=g(z)/(z-a)^2$ with $g$ holomorphic near $a$, then $\operatorname{Res}_{z=a}f=g'(a)$.
= Double pole
A double pole is a <pole> of order two. If $f(z)=g(z)/(z-a)^2$ with $g$ holomorphic near $a$, then $\operatorname{Res}_{z=a}f=g'(a)$.