Let f(z) be some complex valued function of complex variable z=x+iy. Since f(z) is (in general) complex, we can write it as f(z) = u(z)+iv(z), where u and v are real. But how does one prove that we can also write it as f(z) = u(x,y)+iv(x,y), i.e. shouldn't x and y always appear in the form "x+iy"?(adsbygoogle = window.adsbygoogle || []).push({});

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# Complex valued functions

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