  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 $H_2^+$ 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.
