$\displaystyle g(z,\widetilde{z})= u( Re(z),Im(z))+iv(Re(z),Im(z)) \ \ \ \ \ and \ \ \ \frac{\partial g}{\partial \widetilde{z}}=0 $ what is the significance of this result for analytic functions?
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Originally Posted by szpengchao $\displaystyle g(z,\widetilde{z})= u( Re(z),Im(z))+iv(Re(z),Im(z)) \ \ \ \ \ and \ \ \ \frac{\partial g}{\partial \widetilde{z}}=0 $ what is the significance of this result for analytic functions? $\displaystyle g$ is analytic in its domain.. what exactly do you want to know about it?
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