On the Lambert W Function

  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},
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 . 
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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

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