FLINT3.7.0-dev

arb_hypgeom_bessel_i, arb_hypgeom_bessel_i_scaled

Synopsis#include <flint/arb_hypgeom.h>
void arb_hypgeom_bessel_i(arb_t res, const arb_t nu, const arb_t z, slong prec)source
void arb_hypgeom_bessel_i_scaled(arb_t res, const arb_t nu, const arb_t z, slong prec)source

Sets res to the modified Bessel function of the first kind I_\nu(z) = z^\nu (iz)^{-\nu} J_\nu(iz), or to the scaled function e^{-z} I_\nu(z), which does not overflow for large z. Wrappers of acb_hypgeom_bessel_i and acb_hypgeom_bessel_i_scaled.

Cite this page

The FLINT team, “arb_hypgeom_bessel_i, arb_hypgeom_bessel_i_scaled (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.html (generated 2026-10-20).