Are there some tricks to finding residues to various complex functions? I realize that the residue of a complex function is the coefficient $a_{-1}$ of the Laurent expansion of said function.
Are there any cool tricks, say when you are dealing with a function that has singularities, or a function that has a specific format? For example, I came across a theorem that if f has a simple pole at $z_0$ and g is holomorphic at $z_0$, then $Res_{z_0}(fg) = g(z_0)Res_{z_0}(f)$.
Does anyone know of a site or reference sheet that has a list of cool ways to find the residue, please let me know! Or if there are some good ones that you can list. I am trying to find a simple list, but have not come across any.