Is there a simple and fast way of computing the residue at an essential singularity ?
I mean if we have a pole of order $n$ at $c$ we can use the formula :
$$\mathrm{Res}(f,c) = \frac{1}{(n-1)!} \lim_{z \to c} \frac{d^{n-1}}{dz^{n-1}}\left( (z-c)^{n}f(z) \right) $$
Is there a similar formula for an essential singularity (without using Laurent series) ?