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Possible Duplicate:
n-times iterated Cauchy-Riemann operator

Is there a theory that deals with functions that sattisfy the following equation for $n\in\mathbb{N}$? $$\frac{\partial^n f}{\partial \bar z^n}=0$$ EDIT: I have posted the same question in another post also for the reasons stated bellow. Upon posting this question, my web browser suddenly froze and I didn't believe it got posted successively, therefor posting it once more. If such repetition goes against any site rules or regulations, as I would suspect it does, may somebody in power to do so please remove one of the posts. Thank you!

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closed as exact duplicate by Andres Caicedo, darij grinberg, Qiaochu Yuan, S. Carnahan Jul 16 2011 at 20:28

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