acb_hypgeom_legendre_p_uiui_rec
Synopsis
#include <flint/acb_hypgeom.h>For nonnegative integers n and m, sets res to (1-z^2)^{-m/2} P_n^m(z), which is a polynomial in z, computed with the three-term recurrence in the degree starting from P_m^m. The result is zero for m > n, and indeterminate if (n - m)/4 > \mathit{prec}, where the recurrence would lose all accuracy.
Cite this page
The FLINT team, “acb_hypgeom_legendre_p_uiui_rec (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_legendre_p_uiui_rec.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-legendre-p-uiui-rec,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_legendre\_p\_uiui\_rec (acb\_hypgeom.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_legendre_p_uiui_rec.html},
note = {Generated 2026-10-20}
}