acb_hypgeom_bessel_k_asymp
Synopsis
#include <flint/acb_hypgeom.h>void acb_hypgeom_bessel_k_asymp(acb_t res, const acb_t nu, const acb_t z, int scaled, slong prec)sourceSets res to the modified Bessel function of the second kind
K_{\nu}(z) = \left(\frac{2z}{\pi}\right)^{-1/2} e^{-z}
U^{*}(\nu+\tfrac{1}{2}, 2\nu+1, 2z),
valid for all \nu and z \ne 0, using acb_hypgeom_u_asymp; or e^z K_\nu(z) if scaled is nonzero.
Cite this page
The FLINT team, “acb_hypgeom_bessel_k_asymp (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_asymp.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-bessel-k-asymp,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_bessel\_k\_asymp (acb\_hypgeom.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_bessel_k_asymp.html},
note = {Generated 2026-10-20}
}