Is there an exact (not asymptotic) inversion of the function $ \sqrt x \ln x $ or can we only obtain this inverse in terms of a power series?
Inversion of the function $ \sqrt x \ln x $
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logarithms
inverse
closed-form
inverse-function
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0You can do such things with the Lambert W-function, otherwise no. http://en.wikipedia.org/wiki/Lambert_W_function – 2012-10-13