Unimodal sequences show Lambert W is Bernstein
Classical Analysis and ODEs
2010-11-30 v1
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.
Cite
@article{arxiv.1011.5940,
title = {Unimodal sequences show Lambert W is Bernstein},
author = {G. A. Kalugin and D. J. Jeffrey},
journal= {arXiv preprint arXiv:1011.5940},
year = {2010}
}
Comments
6 pages