Some physical applications of generalized Lambert functions

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.

arXiv admin note: substantial text overlap with arXiv:1408.3999

References in corpus (3)

• New Approach for the Electronic Energies of the Hydrogen Molecular Ion
• General Relativity and Quantum Mechanics: Towards a Generalization of the Lambert W Function
• Generalization of Lambert $W$ function, Bessel polynomials and transcendental equations

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