`acb_lambertw_bound_deriv`

Synopsis#include <flint/acb.h>

void acb_lambertw_bound_deriv(mag_t res, const acb_t z, const acb_t ez1, const fmpz_t k)source

Sets res to an upper bound for |W_k'(z)|, given ez1 = ez + 1. On the real line the directional derivative is taken, so the caller must handle the discontinuity at the branch cut separately.

Cite this page

The FLINT team, “acb_lambertw_bound_deriv (acb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb/acb_lambertw_bound_deriv.html (generated 2026-10-20).

@misc{flint-doc-acb-acb-lambertw-bound-deriv,
  author       = {{The FLINT team}},
  title        = {{acb\_lambertw\_bound\_deriv (acb.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/acb/acb_lambertw_bound_deriv.html},
  note         = {Generated 2026-10-20}
}

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