`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)source

Sets 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 2026-11-02).

@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 2026-11-02}
}

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