Unimodal sequences show Lambert W is Bernstein

Autor: Kalugin, G. A., Jeffrey, D. J.
Rok vydání: 2010
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 6 pages
Databáze: arXiv