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Math Help - Analytic function with real part

  1. #1
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    Analytic function with real part

    I'm a bit stuck with this question

    Find one analytic function with real part u(x,y)= x^2-y^2-y as a function f(z) of a single complex variable z
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  2. #2
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    Re: Analytic function with real part

    Use the Cauchy Riemann equations to find the imaginary part v(x, y) of such an f(z).
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