Is there approximation to the negative branch of Lambert w-1(x) function?

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Radoslaw Jedynak

Dear Abdelhay,

Take a look at the following article:

http://rgmia.org/papers/v10n2/lambert-v2.pdf

Authors of this paper recall your interval of x ( –exp[-1]

Abdelhay Ali

thank you for your answer. i found an approximation written by D.A. Barry, et al, (D.A. Barry, et al., 2000 - http://www.sciencedirect.com/science/article/pii/S0378475400001725), which is A simple approximation for W−1 with a maximum relative error of only 0.025%

Jonathan (Jon) Michael Borwein

Look up Rob Corless and David Jefrey's work on the branches of W.