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Lambert W Function for Applications in Physics

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

Abstract

The Lambert W(x) function and its possible applications in physics are presented. The actual numerical implementation in C++ consists of Halley's and Fritsch's iterations with initial approximations based on branch-point expansion, asymptotic series, rational fits, and continued-logarithm recursion.

Cite

@article{arxiv.1209.0735,
  title  = {Lambert W Function for Applications in Physics},
  author = {Darko Veberic},
  journal= {arXiv preprint arXiv:1209.0735},
  year   = {2018}
}

Comments

9 pages, 12 figures. Extended version of arXiv:1003.1628, updated link to sources

R2 v1 2026-06-21T21:59:43.581Z