# compute complex laplacian using computer program

I want to compute the laplacian of some complicate function, for example $|f''(z) + f'(z)\frac{1}{1-|f|^2}|\frac{1-|z|^2}{1-|f|^2}$ assuming $f$ is smooth and then evaluate it at $0$. I wonder whether there is some computer software that can help me with this.

We know that laplacian $\Delta$ is just multiples of $\partial_{\bar z z}$, then one approach would just be that denote the conjugate of $f(x)$ by $g(y)$, and then ask wolfram alpha to compute $\partial_{y x}$, this works out fine if we only have some simple functions, when the function becomes a little bit more complex, wolfram alpha will not give you any output.

One problem with matlab is that you have to specify the function.