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arXiv · 1011.5940

Unimodal sequences show Lambert W is Bernstein

G. A. Kalugin·D. J. Jeffrey
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Abstract

We consider a sequence of polynomials appearing in expressions for the derivatives of the Lambert W function. The coefficients of each polynomial are shown to form a positive sequence that is log-concave and unimodal. This property implies that the positive real branch of the Lambert W function is a Bernstein function.

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G. A. Kalugin, D. J. Jeffrey. 2010-11-27. Unimodal sequences show Lambert W is Bernstein. https://arxiv.org/abs/1011.5940

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