26 Numerics library [numerics]
26.9 Mathematical functions for floating-point types [c.math]
26.9.5 Mathematical special functions [sf.cmath]
26.9.5.15 Hermite polynomials [sf.cmath.hermite]
double hermite(unsigned n, double x);
float hermitef(unsigned n, float x);
long double hermitel(unsigned n, long double x);
Effects: These functions compute the Hermite polynomials of their respective arguments n and x.
Returns:
![\[%
\mathsf{H}_n(x) =
(-1)^n e^{x^2} \frac{ \mathsf{d} ^n}
{ \mathsf{d}x^n} \, e^{-x^2}
\;
\]](math/9005139879380335226.png)
where
n is n and
x is x.