Having Fun with Lambert W(x) Function

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.

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

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