Algebraic properties of the LambertWfunction from a result of Rosenlicht and of Liouville

DOI10.1080/10652460802332342zbMath1156.33004OpenAlexW1985214310WikidataQ59590614 ScholiaQ59590614MaRDI QIDQ3541147

David J. Jeffrey, Robert M. Corless, Manuel Bronstein, James H. Davenport

Publication date: 25 November 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802332342

zbMATH Keywords

transcendental equationsdifferential fieldsimplicitly elementary functions

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Other functions coming from differential, difference and integral equations (33E30) Differential algebra (12H05)

Related Items (4)

Comments on Rosenlicht’s Integration in Finite Terms ⋮ Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function ⋮ Adaptivity gaps for the stochastic Boolean function evaluation problem ⋮ All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells

Cites Work

• Unnamed Item
• On the Lambert \(w\) function
• On the explicit solvability of certain transcendental equations
• Integration of elementary functions
• What is a Closed-Form Number?
• Solution of the equation 𝑧𝑒^{𝑧}=𝑎

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