_arb_poly_lambertw_series, arb_poly_lambertw_series
Synopsis
#include <flint/arb_poly.h>void _arb_poly_lambertw_series(arb_ptr res, arb_srcptr z, slong zlen, int flags, slong len, slong prec)sourcevoid arb_poly_lambertw_series(arb_poly_t res, const arb_poly_t z, int flags, slong len, slong prec)sourceSet res to W(z) truncated to length len: the principal branch W_0 if flags is 0, the branch W_{-1} if flags is 1. The underscore version allows aliasing. The value at the constant term comes from arb_lambertw [Joh2017b], and the series from Newton iteration on w e^w = z.
References#
- [Joh2017b] F. Johansson, "Computing the Lambert W function in arbitrary-precision complex interval arithmetic", preprint (2017), https://arxiv.org/abs/1705.03266
Cite this page
The FLINT team, “_arb_poly_lambertw_series, arb_poly_lambertw_series (arb_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_poly/_arb_poly_lambertw_series.html (generated 2026-10-20).
@misc{flint-doc-arb-poly-arb-poly-lambertw-series,
author = {{The FLINT team}},
title = {{\_arb\_poly\_lambertw\_series, arb\_poly\_lambertw\_series (arb\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb_poly/_arb_poly_lambertw_series.html},
note = {Generated 2026-10-20}
}