acb_hypgeom_bessel_y
Synopsis
#include <flint/acb_hypgeom.h>Sets res to the Bessel function of the second kind
Y_{\nu}(z) = \frac{\cos(\nu \pi) J_{\nu}(z) - J_{-\nu}(z)}{\sin(\nu \pi)},
or for \nu = n an integer the limit
Y_n(z) = -\frac{2}{\pi} \left( i^n K_n(iz) +
\left[\log(iz)-\log(z)\right] J_n(z) \right).
The output is indeterminate if \nu is inexact and contains an integer.
Cite this page
The FLINT team, “acb_hypgeom_bessel_y (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_y.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-bessel-y,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_bessel\_y (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_y.html},
note = {Generated 2026-10-20}
}