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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.
Subjects: CONTINUED fractions; INTEGRAL representations
Publication: Aequationes Mathematicae, 2019, Vol 93, Issue 2, p485
ISSN: 0001-9054
Publication type: Academic Journal
DOI: 10.1007/s00010-018-0559-2

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Continued fraction expansions for the Lambert W function.