# Thread: what can we say for this result of differentiability

1. ## what can we say for this result of differentiability

$g(z,\widetilde{z})= u( Re(z),Im(z))+iv(Re(z),Im(z)) \ \ \ \ \ and \ \ \ \frac{\partial g}{\partial \widetilde{z}}=0$

what is the significance of this result for analytic functions?

2. Originally Posted by szpengchao
$g(z,\widetilde{z})= u( Re(z),Im(z))+iv(Re(z),Im(z)) \ \ \ \ \ and \ \ \ \frac{\partial g}{\partial \widetilde{z}}=0$

what is the significance of this result for analytic functions?
$g$ is analytic in its domain.. what exactly do you want to know about it?