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