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    Product Log Function

    Illustration

    Illustration

    Definition

    The Lambert W-function, also called the omega function, is the inverse function of f(W) = W e^W. The plot above shows the function along the real axis. The principal value of the Lambert W-function is implemented in the Wolfram Language as ProductLog[z]. Different branches of the function are available in the Wolfram Language as ProductLog[k, z], where k is any integer and k = 0 corresponds to the principal value. Although undocumented, LambertW[k, z] autoevaluates to ProductLog[k, z] in the Wolfram Language.

    Related Wolfram Language symbol

    ProductLog

    Associated person

    Johann Lambert

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