FLINT3.7.0-dev

BesselJ, BesselY, BesselI, BesselK, HankelH1, HankelH2

Synopsis#include <flint/fexpr_builtin.h>
BesselJ
BesselY
BesselI
BesselK
HankelH1
HankelH2

Bessel functions of the first and second kind BesselJ(nu, z) (J_{\nu}\!\left(z\right)) and BesselY(nu, z) (Y_{\nu}\!\left(z\right)), modified Bessel functions BesselI(nu, z) (I_{\nu}\!\left(z\right)) and BesselK(nu, z) (K_{\nu}\!\left(z\right)), with derivatives BesselJ(nu, z, r) ({J}^{(r)}_{\nu}\!\left(z\right)), and the Hankel functions HankelH1(nu, z) (H^{(1)}_{\nu}\!\left(z\right)) and HankelH2(nu, z) (H^{(2)}_{\nu}\!\left(z\right)).

Cite this page

The FLINT team, “BesselJ, BesselY, BesselI, BesselK, HankelH1, HankelH2 (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/BesselJ.html (generated 2026-10-20).