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Title
Continued fraction expansions for the Lambert W function.
Authors
Corcino, Cristina B.; Corcino, Roberto B.; Mező, István
Abstract
In the first part of the paper we give a new integral representation for the principal branch of the Lambert W function. Then we deduce two continued fraction expansions for this branch. At the end of the paper we study the numerical behavior of the approximants of these expansions.