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arXiv · 1505.01555

Some physical applications of generalized Lambert functions

István Mező·Grant Keady
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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 $H_2^+$ 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.

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István Mező, Grant Keady. 2015-06-22. Some physical applications of generalized Lambert functions. https://doi.org/10.1088/0143-0807%2F37%2F6%2F065802

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