Suppose $f$ is a complex polynomial in $z$ and $\bar z$. Assume that $\frac{\partial f}{\partial z} = 0$ and $\frac{\partial f}{\partial \bar z} = 0$.
How do you prove that $f$ here MUST be a constant polynomial?
Thanks in advance!!!
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What did you try? – José Carlos Santos Jan 17 '18 at 08:51
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Well, I understand the theory but I just dont understand how to prove that... – ISuckAtMathPleaseHELPME Jan 17 '18 at 08:54