On the LambertW Function

R. M. Corless,G. H. Gonnet,D. E. G. Hare,D. J. Jeffrey,D. E. Knuth

Advances in Computational Mathematics（1996）SCI 4区SCI 3区

Department of Applied Mathematics

被引用8218|浏览351

摘要

The LambertW function is defined to be the multivalued inverse of the functionw →we w . 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 ofW, 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 containingW.

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关键词

Applied Mathematic,Asymptotic Expansion,Numerical Procedure,Arbitrary Precision,Symbolic Integration