_fmpz_poly_hermite_h, fmpz_poly_hermite_h, _fmpz_poly_hermite_he, fmpz_poly_hermite_he
Synopsis
#include <flint/fmpz_poly.h>void fmpz_poly_hermite_h(fmpz_poly_t poly, ulong n)sourcevoid fmpz_poly_hermite_he(fmpz_poly_t poly, ulong n)sourceSet poly to the physicists' Hermite polynomial H_n (with H_n' = 2n H_{n-1}), respectively the probabilists' Hermite polynomial \mathit{He}_n(x) = 2^{-n/2} H_n(x / \sqrt{2}), computed by a hypergeometric recurrence. The underscore versions write n + 1 coefficients.
Cite this page
The FLINT team, “_fmpz_poly_hermite_h, fmpz_poly_hermite_h, _fmpz_poly_hermite_he, fmpz_poly_hermite_he (fmpz_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_poly/_fmpz_poly_hermite_h.html (generated 2026-10-20).
@misc{flint-doc-fmpz-poly-fmpz-poly-hermite-h,
author = {{The FLINT team}},
title = {{\_fmpz\_poly\_hermite\_h, fmpz\_poly\_hermite\_h, \_fmpz\_poly\_hermite\_he, fmpz\_poly\_hermite\_he (fmpz\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpz_poly/_fmpz_poly_hermite_h.html},
note = {Generated 2026-10-20}
}