acb_hypgeom_bessel_j_0f1
Synopsis
#include <flint/acb_hypgeom.h>Sets res to J_\nu(z) computed from the convergent series
J_{\nu}(z) = \frac{1}{\Gamma(\nu+1)} \left(\frac{z}{2}\right)^{\nu}
{}_0F_1\left(\nu+1, -\frac{z^2}{4}\right),
using J_{-n}(z) = (-1)^n J_n(z) for negative integer \nu.
Cite this page
The FLINT team, “acb_hypgeom_bessel_j_0f1 (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_j_0f1.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-bessel-j-0f1,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_bessel\_j\_0f1 (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_j_0f1.html},
note = {Generated 2026-10-20}
}