`acb_hypgeom_bessel_j_deriv_bound`

Synopsis#include <flint/acb_hypgeom.h>

void acb_hypgeom_bessel_j_deriv_bound(mag_t res, const acb_t nu, const acb_t z, ulong d)source

Sets res to an upper bound, possibly crude, for $|J_\nu^{(d)}(z)|$ ( $|J_\nu(z)|$ for $d = 0$ ). Implemented only for integer $\nu$ , using for example $|J_n^{(d)}(z)| \le e^{|\operatorname{Im} z|}$ ; for non-integer $\nu$ the bound is infinite.

Cite this page

The FLINT team, “acb_hypgeom_bessel_j_deriv_bound (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_deriv_bound.html (generated 2026-11-02).

@misc{flint-doc-acb-hypgeom-acb-hypgeom-bessel-j-deriv-bound,
  author       = {{The FLINT team}},
  title        = {{acb\_hypgeom\_bessel\_j\_deriv\_bound (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_deriv_bound.html},
  note         = {Generated 2026-11-02}
}

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