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    Q^_

    3D plot

    Contour plot

    Root

    Re(_)>0, Q = 0

    Integer root

    _ = 1, Q = 0

    _ = 2, Q = 0

    _ = 3, Q = 0

    _ = 4, Q = 0

    _ = 5, Q = 0

    Periodicity

    periodic in _ with period (2 i π)/log(Q)

    Series expansion at _ = 0

    1 + _ log(Q) + 1/2 _^2 log^2(Q) + 1/6 _^3 log^3(Q) + 1/24 _^4 log^4(Q) + O(_^5) (Taylor series)

    Derivative

    d/d_(Q^_) = log(Q) Q^_

    Indefinite integral

    integral Q^_ d_ = Q^_/log(Q) + constant

    Limit

    lim_(_->-∞) Q^_ = 0 for log(Q)>0

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