On the Lambert W Function

@inproceedings{Corless1996OnTL,
  title={On the Lambert W Function},
  author={Robert M. Corless and Gaston H. Gonnet and D. E. G. Hare and David J. Jeffrey and Donald E. Knuth},
  year={1996}
}
The Lambert W function is defined to be the multivalued inverse of the function w 7→ we. It has many applications in pure and applied mathematics, some of which are briefly described here. We present a new discussion of the complex branches of W , an asymptotic expansion valid for all branches, an efficient numerical procedure for evaluating the function to arbitrary precision, and a method for the symbolic integration of expressions containing W . 
Highly Influential
This paper has highly influenced 105 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 2,703 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 1,232 extracted citations

A Unified Formulation and Fast Accelerated Proximal Gradient Method for Classification

Journal of Machine Learning Research • 2017
View 4 Excerpts
Highly Influenced

Analysis of consensus protocols under time delays in directed graphs

2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC) • 2017
View 4 Excerpts
Highly Influenced

2,704 Citations

0100200'97'02'08'14
Citations per Year
Semantic Scholar estimates that this publication has 2,704 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 56 references

Theory of Functions of a Complex Variable

View 5 Excerpts
Highly Influenced

Singular Perturbation Methods for Ordinary Differential Equations, Springer-Verlag

R. E. O’Malley, Jr.
Applied Mathematical Sciences, • 1991
View 5 Excerpts
Highly Influenced

On some problems of random nets

H. G. Landau
Bull. Mathematical Biophysics, 14 • 1952
View 2 Excerpts
Highly Influenced

Sur les racines de l’equation x = a

E. M. Lémeray
Racines imaginaires”, Nouvelles Annales de Mathématiques (3) 16 • 1897
View 3 Excerpts
Highly Influenced

Essential Maple, Springer-Verlag 1994

R. M. Corless
On the Lambert W • 1994

What good are numerical simulations of chaotic dynamical systems?

R. M. Corless
Computers Math. Applic. 28 • 1994
View 1 Excerpt

A class of exact solutions for Richards’ equation

D. A. Barry, J.-Y. Parlange, G. C. Sander, M. Sivaplan
J. Hydrology, 142 • 1993
View 1 Excerpt

Lambert’s W function in Maple

R. M. Corless, G. H. Gonnet, D.E.G. Hare, D. J. Jeffrey
The Maple Technical Newsletter, 9 • 1993
View 1 Excerpt

Similar Papers

Loading similar papers…