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arXiv · 2012.11698

Lambert $W$-Function Branch Identities

Henri Cohen
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Abstract

After defining in detail the Lambert $W$-function branches, we give a large number of exact identities involving (infinite) symmetric functions of these branches, as well as geometrically convergent series for all the branches. In doing so, we introduce a family of polynomials which may be of independent interest.

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Henri Cohen. 2020-12-21. Lambert $W$-Function Branch Identities. https://arxiv.org/abs/2012.11698

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