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Having Fun with Lambert W(x) Function

Mathematical Software 2018-01-09 v2 Numerical Analysis Numerical Analysis

Abstract

This short note presents the Lambert W(x) function and its possible application in the framework of physics related to the Pierre Auger Observatory. The actual numerical implementation in C++ consists of Halley's and Fritsch's iteration with branch-point expansion, asymptotic series and rational fits as initial approximations.

Cite

@article{arxiv.1003.1628,
  title  = {Having Fun with Lambert W(x) Function},
  author = {Darko Veberic},
  journal= {arXiv preprint arXiv:1003.1628},
  year   = {2018}
}

Comments

15 pages, 11 figures, 4 tables, updated link to sources

R2 v1 2026-06-21T14:55:02.638Z