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Lambert $W$-Function Branch Identities

Henri Cohen 1, 2
1 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
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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Preprints, Working Papers, ...
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Submitted on : Wednesday, December 23, 2020 - 9:39:20 PM
Last modification on : Saturday, December 4, 2021 - 3:43:54 AM

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  • HAL Id : hal-03087491, version 1
  • ARXIV : 2012.11698



Henri Cohen. Lambert $W$-Function Branch Identities. 2020. ⟨hal-03087491⟩



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