Functions anihilated by the n-times iterated Cauchy-Riemann operator? - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-06-18T22:47:37Z http://mathoverflow.net/feeds/question/70514 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/70514/functions-anihilated-by-the-n-times-iterated-cauchy-riemann-operator Functions anihilated by the n-times iterated Cauchy-Riemann operator? HeWhoHungers 2011-07-16T18:43:18Z 2011-07-16T19:01:26Z <blockquote> <p><strong>Possible Duplicate:</strong><br> <a href="http://mathoverflow.net/questions/70515/n-times-iterated-cauchy-riemann-operator" rel="nofollow">n-times iterated Cauchy-Riemann operator</a> </p> </blockquote> <p>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!</p>