UWO ORCCA TR-04-02 Summary

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Algebraic Properties of the Lambert W function from a result of Rosenlicht and of Liouville, January 2004, Bronstein, Corless, Davenport, Jeffrey 4 pages

Abstract: This paper gives an explicit proof that the Lambert W function and the Wright omega function are not elementary, or even Liouvillian. The result follows from a more general result of Rosenlicht, but the details in this specific case are instructive, and of interest.

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