Is the following an explicit expression for the Laurent series:
$$f(z)=\sum_{n=0}^{\infty}(z-z_0)^n\frac{f^{(n)}(z_0)}{n!}?$$
The reason I ask is because this is what I have seen being derived when studying Laurent series, but then I struggle to find this as the definitive Laurent series when searching the internet and books.
This would imply that the Laurent series is directly analogous to the Taylor series except being applied to complex numbers.