29 Numerics library [numerics]

29.7 Mathematical functions for floating-point types [c.math]

29.7.6 Mathematical special functions [sf.cmath]

29.7.6.16 Hermite polynomials [sf.cmath.hermite]

floating-point-type hermite(unsigned n, floating-point-type 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:

H_{n} (x)

, where

H_{n}

is given by Formula 29.36, n is n, and x is x.

\begin{matrix} H_{n} (x) = (- 1)^{n} e^{x^{2}} \frac{d^{n}}{d x^{n}} e^{- x^{2}} \\ (29.36) \end{matrix}

Remarks: The effect of calling each of these functions is implementation-defined if n >= 128.