Analytical approximations to the Lambert \(W\) function

DOI10.1016/j.apm.2021.11.024zbMath1505.33001OpenAlexW3216793166WikidataQ114208725 ScholiaQ114208725MaRDI QIDQ2109770

Yanyan Li

Publication date: 21 December 2022

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2021.11.024

zbMATH Keywords

Padé approximationrootLambert \(W\) functiontranscendental equationSchröder's iteration

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Padé approximation (41A21) Exponential and trigonometric functions (33B10)

Related Items (1)

A modified \(\Phi \)-Sobolev inequality for canonical Lévy processes and its applications

Uses Software

• Algorithm 917
• Algorithm 443

Cites Work

• Concerning exact analytical STFT solutions to some families of inverse problems in engineering material theory
• On the Lambert \(w\) function
• On the global convergence of Schröder's iteration formula for real zeros of entire functions
• Comments on some analytical and numerical aspects of the SIR model
• Algorithm 917
• Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2
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