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Math Help - what can we say for this result of differentiability

  1. #1
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    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?
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by szpengchao View Post
     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?
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