FLINT3.7.0-dev
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gr_elliptic_f, gr_elliptic_e_inc, gr_elliptic_pi_inc

Synopsis#include <flint/gr_special.h>
int gr_elliptic_f(gr_ptr res, gr_srcptr phi, gr_srcptr m, int pi, gr_ctx_t ctx)source
int gr_elliptic_e_inc(gr_ptr res, gr_srcptr phi, gr_srcptr m, int pi, gr_ctx_t ctx)source
int gr_elliptic_pi_inc(gr_ptr res, gr_srcptr n, gr_srcptr phi, gr_srcptr m, int pi, gr_ctx_t ctx)source

Set res to the incomplete elliptic integrals F(\phi, m), E(\phi, m) and \Pi(n, \phi, m); if pi is nonzero, the amplitude is \pi \phi instead of \phi.

Cite this page

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