Abstract
It is shown that the Lambert W function cannot be expressed in terms of the elementary, Liouvillian, functions. The proof is based on a theorem due to Rosenlicht. A related function, the Wright omega function is similarly shown to be not Liouvillian.
Original language | English |
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Pages (from-to) | 709-712 |
Number of pages | 4 |
Journal | Integral Transforms and Special Functions |
Volume | 19 |
Issue number | 10 |
DOIs | |
Publication status | Published - 2008 |