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Lambert $W$-Function Branch Identities

Published 21 Dec 2020 in math.CV and math.CO | (2012.11698v2)

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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