EllipticK, EllipticE, EllipticPi, IncompleteEllipticF, IncompleteEllipticE, IncompleteEllipticPi
Synopsis
#include <flint/fexpr_builtin.h>EllipticKEllipticEEllipticPiIncompleteEllipticFIncompleteEllipticEIncompleteEllipticPiLegendre's complete elliptic integrals with parameter m = k^2, EllipticK(m) (K(m)), EllipticE(m) (E(m)), EllipticPi(n, m) (\Pi(n, m)), and the incomplete integrals IncompleteEllipticF(phi, m) (F(\phi, m)), IncompleteEllipticE(phi, m) (E(\phi, m)) and IncompleteEllipticPi(n, phi, m) (\Pi(n, \phi, m)).
Cite this page
The FLINT team, “EllipticK, EllipticE, EllipticPi, IncompleteEllipticF, IncompleteEllipticE, IncompleteEllipticPi (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/EllipticK.html (generated 2026-10-20).
@misc{flint-doc-fexpr-builtin-EllipticK,
author = {{The FLINT team}},
title = {{EllipticK, EllipticE, EllipticPi, IncompleteEllipticF, IncompleteEllipticE, IncompleteEllipticPi (fexpr\_builtin.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fexpr_builtin/EllipticK.html},
note = {Generated 2026-10-20}
}