Abstract
The inverse Langevin function cannot be represented in an explicit form and requires an approximation by a series, a non-rational or a rational function as for example by a Padé approximation. In the current paper, an analytical method based on the Padé technique and the multiple point interpolation is presented for the inverse Langevin function. Thus, a new simple and accurate approximation of the inverse Langevin function is obtained. It might be advantageous, for example, for non-Gaussian statistical theory of rubber elasticity where the inverse Langevin function plays an important role.
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Darabi, E., Itskov, M. A simple and accurate approximation of the inverse Langevin function. Rheol Acta 54, 455–459 (2015). https://doi.org/10.1007/s00397-015-0851-1
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DOI: https://doi.org/10.1007/s00397-015-0851-1