Global approximations to the principal real-valued branch of the Lambert \(W\)-function

DOI10.1016/S0893-9659(98)00097-4zbMath0940.65018WikidataQ126982006 ScholiaQ126982006MaRDI QIDQ1808573

John P. Boyd

Publication date: 27 July 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

global approximationNewton iterationsLambert \(W\)-functionrational Chebyshev function series

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Hypergeometric functions associated with root systems (33C67)

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Uses Software

• WAPR
• Algorithm 443

Cites Work

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• On the Lambert \(w\) function
• Spectral methods using rational basis functions on an infinite interval
• Multiple scale and singular perturbation methods
• Real values of the W -function