acb_hypgeom_hermite_h
Synopsis
#include <flint/acb_hypgeom.h>Sets res to the Hermite polynomial (or Hermite function)
H_n(z) = 2^n \sqrt{\pi} \left(
\frac{1}{\Gamma((1-n)/2)}\, {}_1F_1\left(-\frac{n}{2},\frac{1}{2},z^2\right)
- \frac{2z}{\Gamma(-n/2)}\, {}_1F_1\left(\frac{1-n}{2},\frac{3}{2},z^2\right)\right).
Cite this page
The FLINT team, “acb_hypgeom_hermite_h (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_hermite_h.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-hermite-h,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_hermite\_h (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_hermite_h.html},
note = {Generated 2026-10-20}
}