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arxiv: 1003.1628 · v2 · pith:JW5J32EEnew · submitted 2010-03-08 · 💻 cs.MS · cs.NA· math.NA

Having Fun with Lambert W(x) Function

classification 💻 cs.MS cs.NAmath.NA
keywords functionlambertactualapplicationapproximationsasymptoticaugerbranch-point
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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.

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