`gr_bessel_j_jet`

Synopsis#include <flint/gr_special.h>

int gr_bessel_j_jet(gr_ptr res, gr_srcptr nu, gr_srcptr z, slong len, gr_ctx_t ctx)source

Sets res to the first len Taylor coefficients of $J_\nu(z + t)$ at $t = 0$ , that is, $J_\nu^{(k)}(z) / k!$ for $0 \le k < \mathit{len}$ (the jet of $J_\nu$ at $z$ ). This is a generic function, not a method: it computes $J_\nu(z)$ and $J_{\nu+1}(z)$ and then the higher coefficients by a three-term recurrence (https://fungrim.org/entry/9b2f38/), and uses the series expansion at $z = 0$ for integer $\nu$ .

Cite this page

The FLINT team, “gr_bessel_j_jet (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_bessel_j_jet.html (generated 2026-11-02).

@misc{flint-doc-gr-special-gr-bessel-j-jet,
  author       = {{The FLINT team}},
  title        = {{gr\_bessel\_j\_jet (gr\_special.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/gr_special/gr_bessel_j_jet.html},
  note         = {Generated 2026-11-02}
}

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