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.
