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Complex analysis. Compute bar derivative

Can sage do complex analysis? I was unable to find documentation upon a quick web search.

For instance, I would like to define $f(z) = z \bar{z}$ and ask sage to compute $\displaystyle \frac{\partial f}{\partial \bar{z}}$, is that possible?

Of course I could treat $z$ and $\bar{z}$ as independent variables, but that is not what I'm asking.