FLINT3.7.0-dev

acb_hypgeom_bessel_k, acb_hypgeom_bessel_k_scaled

Synopsis#include <flint/acb_hypgeom.h>
void acb_hypgeom_bessel_k(acb_t res, const acb_t nu, const acb_t z, slong prec)source
void acb_hypgeom_bessel_k_scaled(acb_t res, const acb_t nu, const acb_t z, slong prec)source

Sets res to the modified Bessel function of the second kind K_\nu(z), or to e^z K_\nu(z), choosing between the asymptotic expansion and the convergent series. For real arguments with an inaccurate result they also try arb_hypgeom_bessel_k_integration.

Cite this page

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