Unimodal sequences show Lambert W is Bernstein

Details Unimodal sequences show Lambert W is Bernstein Unimodal sequences show Lambert W is Bernstein

2010-11-27

arxiv.org/abs/1011.5940v1

Mathematics

Classical Analysis and ODEs

6 pages

Scientific paper

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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