Relationship between Inverse Langevin Function and r0-r1-Lambert W Function

The relationship between the inverse Langevin function and the proposed r0-r1-Lambert W function is defined. The derived relationship leads to new approximations for the inverse Langevin function with lower relative error bounds than comparable published approximations. High accuracy approximations,...

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Bibliographic Details
Published in:AppliedMath 2024-06, Vol.4 (2), p.743-762
Main Author: Howard, Roy M.
Format: Article
Language:English
Subjects:
inverse Langevin function
Lambert W function
Schröder approximation
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Summary:The relationship between the inverse Langevin function and the proposed r0-r1-Lambert W function is defined. The derived relationship leads to new approximations for the inverse Langevin function with lower relative error bounds than comparable published approximations. High accuracy approximations, based on Schröder’s root approximations of the first kind, are detailed. Several applications are detailed.
ISSN:2673-9909
2673-9909
DOI:10.3390/appliedmath4020040