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Math Help - complex function

  1. #1
    MHF Contributor arbolis's Avatar
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    complex function

    I must rewrite the function f in the form f(z)=u(x,y)+iv(x,y) where f(z)=z^3+z-1.

    What I did was to write z as x+iy and I found out that f(z)=\overbrace{x^3-3xy^2+x-1}^{u(x,y)}+i\overbrace{(y-y^3+3x^2y)}^{v(x,y)}.
    Assuming I didn't do any arithmetic error, is my approach right?
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  2. #2
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    Looks good.
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