Recent content by demidemi

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    Proving Holomorphic Function f in Complex Domain D(0,1)

    Homework Statement If f: D(0,1) -> C is a function (C = set of complex numbers), and both f^2 and f^3 are holomorphic, then prove that f is holomorphic. Homework Equations The Attempt at a Solution Setting f = (f^3) / (f^2), then I think we need to look at the zeros of the...
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    Complex operator in polar coords

    Why is "f" necessary there? Also, should there be a "partial theta partial x" in the first parentheses?
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    Complex operator in polar coords

    Homework Statement If z=x + iy, what is d/dz in polar coordinates? The Attempt at a Solution I know that expanded, d/dz = 1/2 (d/dx) - i (d/dy) Where to go from there?