A Sequence of Series for The Lambert Function (1997) [6 citations — 3 self]
Popular Tags
No tags have been applied to this document.
BibTeX | Add To MetaCart
author = {Robert Corless and David Jeffrey and Donald Knuth},
title = {A Sequence of Series for The Lambert Function},
year = {1997}
}
Bookmarks
OpenURL
Abstract:
We give a uniform treatment of several series expansions for the Lambert W function, leading to an infinite family of new series. We also discuss standardization, complex branches, a family of arbitrary-order iterative methods for computation of W , and give a theorem showing how to correctly solve another simple and frequently occurring nonlinear equation in terms of W and the unwinding number. 1 Introduction Investigations of the properties of the Lambert W function are good examples of nontrivial interactions between computer algebra, mathematics, and applications. To begin with, the standardization of the name W by computer algebra (see section 1.2 below) has had several effects. First, this standardization has exposed a great variety of applications; second, it has uncovered a significant history, hitherto unnoticed because the lack of a standard name meant that most researchers were unaware of previous work; and, third, it has now stimulated current interest in this remarkable ...
