Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7548032 | Statistics & Probability Letters | 2018 | 8 Pages |
Abstract
This paper offers a new proof that the principal Lambert W-function W(s) is a Bernstein function. The proof derives from a known integral evaluation and leads to a more detailed description of W(s) as a Thorin-Bernstein function with a real-variable description of the Thorin measure, and refinements of some known properties of the Lambert distribution.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Anthony G. Pakes,