Continued fraction expansions for the Lambert \(W\) function

DOI10.1007/s00010-018-0559-2zbMath1414.30007OpenAlexW2799742745WikidataQ60691890 ScholiaQ60691890MaRDI QIDQ1736321

Cristina B. Corcino, Roberto B. Corcino, István Mezö

Publication date: 26 March 2019

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-018-0559-2

zbMATH Keywords

continued fraction expansionsintegral representationLambert \(W\) function

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70)

Related Items (1)

Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function

Uses Software

• OEIS

Cites Work

• Matrix interpretations and applications of the continued fraction algorithm
• New approximations to the principal real-valued branch of the Lambert \(W\)-function
• On the Lambert \(w\) function
• On the structure of the solution set of a generalized Euler-Lambert equation
• The On-Line Encyclopedia of Integer Sequences
• Der Quotienten-Differenzen-Algorithmus
• Ein infinitesimales Analogon zum Quotienten-Differenzen-Algorithmus
• Anwendungen des Quotienten-Differenzen-Algorithmus
• Integrals and derivatives connected to the r-Lambert function
• Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2
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