Some physical applications of generalized Lambert functions

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Abstract
In this paper we show two applications for a generalization of the Lambert W function. Explicit calculations are given for the inverse Langevin function that plays an important role in the study of paramagnetic materials, and for the dispersion equations for water waves. After these examples we provide some additional knowledge on the generalized Lambert function as well as a review of former studies made towards this direction by other authors.
Funding Information
  • Startup Foundation Startup Foundation for Introducing Talent of NUIST (S8113062001)
  • National Natural Science Foundation of China (11501299)

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