arb_hypgeom_legendre_p_ui_deriv_bound
Synopsis
#include <flint/arb_hypgeom.h>void arb_hypgeom_legendre_p_ui_deriv_bound(mag_t dp, mag_t dp2, ulong n, const arb_t x, const arb_t x2sub1)sourceSets dp to an upper bound for |P'_n(x)| and dp2 to an upper bound for |P''_n(x)|, for x representing real numbers with |x| \le 1, given the precomputed x2sub1 = 1 - x^2 (or x^2 - 1). Used to bound the propagated error in arb_hypgeom_legendre_p_ui.
Cite this page
The FLINT team, “arb_hypgeom_legendre_p_ui_deriv_bound (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_legendre_p_ui_deriv_bound.html (generated 2026-10-20).
@misc{flint-doc-arb-hypgeom-arb-hypgeom-legendre-p-ui-deriv-bound,
author = {{The FLINT team}},
title = {{arb\_hypgeom\_legendre\_p\_ui\_deriv\_bound (arb\_hypgeom.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_legendre_p_ui_deriv_bound.html},
note = {Generated 2026-10-20}
}