I'm a bit confused about how to calculate all the laurent series about a given point in the complex plane.
I have the complex function $$ f(z)=\frac{1}{z^2(z-3)}$$ I need to find all the Laurent series about $z=0$.
I understand $f(z)$ has singularities at $z=3$ and $z=0$, but I do not understand if the singularity at $z=0$ is special because of the $z^2$?
I also don't know which regions I should be looking at to determine the Laurent series, and which regions are Taylor series... and does finding all the Laurent series also mean finding the Taylor series...?
I'm pretty lost overall!
Please help :/