`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 2026-11-02).

@misc{flint-doc-fexpr-builtin-BesselJ,
  author       = {{The FLINT team}},
  title        = {{BesselJ, BesselY, BesselI, BesselK, HankelH1, HankelH2 (fexpr\_builtin.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/fexpr_builtin/BesselJ.html},
  note         = {Generated 2026-11-02}
}

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