English

Some physical applications of generalized Lambert functions

Classical Analysis and ODEs 2016-09-21 v2

Abstract

In this paper we review the physical applications of the generalized Lambert function recently defined by the first author. Among these applications we mention the eigenstate anomaly of the H2+H_2^+ ion, the two dimensional two-body problem in general relativity, the stability analysis of delay differential equations and water-wave applications. We also point out that the inverse Langevin function is nothing else but a specially parametrized generalized Lambert function.

Cite

@article{arxiv.1505.01555,
  title  = {Some physical applications of generalized Lambert functions},
  author = {István Mező and Grant Keady},
  journal= {arXiv preprint arXiv:1505.01555},
  year   = {2016}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1408.3999

R2 v1 2026-06-22T09:29:27.332Z