Algebraic properties of the Lambert W Function from a result of Rosenlicht and of Liouville

Manuel Bronstein, Robert M Corless, James H Davenport, D J Jeffrey

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)
292 Downloads (Pure)

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 languageEnglish
Pages (from-to)709-712
Number of pages4
JournalIntegral Transforms and Special Functions
Volume19
Issue number10
DOIs
Publication statusPublished - 2008

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