Title
On the LambertW function.
Abstract
The Lambert W function is defined to be the multivalued inverse of the functionw 7! wew. It has many applications in pure and applied mathematics, some of whichare briefly described here. We present a new discussion of the complex branches of W , anasymptotic expansion valid for all branches, an efficient numerical procedure for evaluatingthe function to arbitrary precision, and a method for the symbolic integration of expressionscontaining W .On the Lambert W function 21....
Year
DOI
Venue
1996
10.1007/BF02124750
Adv. Comput. Math.
Keywords
Field
DocType
Applied Mathematic,Asymptotic Expansion,Numerical Procedure,Arbitrary Precision,Symbolic Integration
Inverse,Symbolic integration,Expression (mathematics),Mathematical analysis,Darcy friction factor formulae,Arbitrary-precision arithmetic,Lambert W function,Principal branch,Asymptotic expansion,Mathematics
Journal
Volume
Issue
ISSN
5
1
1572-9044
Citations 
PageRank 
References 
952
82.92
8
Authors
5
Search Limit
100952
Name
Order
Citations
PageRank
Robert M. Corless11239127.79
Gaston H. Gonnet22387578.75
D. E. G. Hare395483.38
David J. Jeffrey41172132.12
Donald E. Knuth568312533.50