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November 29th, 2013, 10:58 AM  #1 
Member Joined: Oct 2011 Posts: 40 Thanks: 0  how can i show all analytic functions such that
How can I find all analytic functions f=u+iv with u(x,y)=(x^2)+(y^2) Thanks for the help. I appreciate it. 
November 29th, 2013, 11:08 AM  #2 
Member Joined: Oct 2011 Posts: 40 Thanks: 0  Re: how can i show all analytic functions such that
i'm asking this question.

December 2nd, 2013, 08:47 AM  #3 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: how can i show all analytic functions such that
If you know what an analytic function is, you should know the "CauchyRiemann" equations. With f(z)= u(x, y)+ Iv(x, y), z= x+ iy Since , and so and . 

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