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Math Help - Local Mapping Theorem

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    Local Mapping Theorem

    Can anyone help determining the set of points a in C of f(z)=ze^z, if f is one-one near a?
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    Quote Originally Posted by pennylane View Post
    Can anyone help determining the set of points a in C of f(z)=ze^z, if f is one-one near a?
    Inverse function theorem: if the derivative is nonzero at a, then the function has a local inverse there.
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