arb_hypgeom_bessel_i_integration, arb_hypgeom_bessel_k_integration
Synopsis
#include <flint/arb_hypgeom.h>void arb_hypgeom_bessel_i_integration(arb_t res, const arb_t nu, const arb_t z, int scaled, slong prec)sourcevoid arb_hypgeom_bessel_k_integration(arb_t res, const arb_t nu, const arb_t z, int scaled, slong prec)sourceComputes I_\nu(z) or K_\nu(z) (multiplied by e^{-z} or e^{z} if scaled is nonzero) by rigorous numerical integration of an integral representation. These functions are intended for large \nu, where the series expansions are slow; acb_hypgeom_bessel_i and acb_hypgeom_bessel_k use them as fallbacks for real arguments.
Cite this page
The FLINT team, “arb_hypgeom_bessel_i_integration, arb_hypgeom_bessel_k_integration (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_bessel_i_integration.html (generated 2026-10-20).
@misc{flint-doc-arb-hypgeom-arb-hypgeom-bessel-i-integration,
author = {{The FLINT team}},
title = {{arb\_hypgeom\_bessel\_i\_integration, arb\_hypgeom\_bessel\_k\_integration (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_bessel_i_integration.html},
note = {Generated 2026-10-20}
}