Is there a known expression/name for this function?
2026-03-28 06:09:47.1774678187
Inverse function of $f(x) = x^2 \log x$, $x > 1$?
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The inverse of the function $f(x)=x^2 \log x, \; x>1$ is given by $$f^{-1}(x)=\frac{\sqrt{2} \sqrt{x}}{\sqrt{W(2 x)}},$$ where $W$ is the Lambert $W$-function.