Algebraic properties of the Lambert W Function from a result of Rosenlicht and of Liouville
Reference:
Bronstein, M., Corless, R. M., Davenport, J. H. and Jeffrey, D. J., 2008. Algebraic properties of the Lambert W Function from a result of Rosenlicht and of Liouville. Integral Transforms and Special Functions, 19 (10), pp. 709-712.
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Official URL:
http://dx.doi.org/10.1080/10652460802332342
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.
Details
| Item Type | Articles |
| Creators | Bronstein, M., Corless, R. M., Davenport, J. H. and Jeffrey, D. J. |
| DOI | 10.1080/10652460802332342 |
| Departments | Faculty of Science > Computer Science |
| Publisher Statement | Davenport_ITSF_19_10_709.pdf: This is an electronic version of an article published in Bronstein, M., Corless, R. M., Davenport, J. H. and Jeffrey, D.J., 2008. Algebraic properties of the Lambert W Function from a result of Rosenlicht and of Liouville. Integral Transforms and Special Functions, 19 (10), pp. 709-712. Integral Transforms and Special Functions is available online at http://dx.doi.org/10.1080/10652460802332342 |
| Refereed | Yes |
| Status | Published |
| ID Code | 27004 |
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