On the LambertW function

@article{Corless1996OnTL,
  title={On the LambertW function},
  author={Robert M Corless and Gaston H. Gonnet and D. E. G. Hare and David J. Jeffrey and Donald Ervin Knuth},
  journal={Advances in Computational Mathematics},
  year={1996},
  volume={5},
  pages={329-359}
}
The LambertW function is defined to be the multivalued inverse of the functionw →wew. 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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