FLINT3.7.0-dev
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_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 * coeffs, ulong n)source
void fmpz_poly_hermite_h(fmpz_poly_t poly, ulong n)source
void _fmpz_poly_hermite_he(fmpz * coeffs, ulong n)source
void fmpz_poly_hermite_he(fmpz_poly_t poly, ulong n)source

Set poly to the physicists' Hermite polynomial HnH_n (with Hn′=2nHn−1H_n' = 2n H_{n-1}), respectively the probabilists' Hermite polynomial Hen(x)=2−n/2Hn(x/2)\mathit{He}_n(x) = 2^{-n/2} H_n(x / \sqrt{2}), computed by a hypergeometric recurrence. The underscore versions write n+1n + 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 2026-11-02).