[sf.cmath.hermite]

# 29 Numerics library [[numerics]](./#numerics)

## 29.7 Mathematical functions for floating-point types [[c.math]](c.math#sf.cmath.hermite)

### 29.7.6 Mathematical special functions [[sf.cmath]](sf.cmath#hermite)

#### 29.7.6.16 Hermite polynomials [sf.cmath.hermite]

[🔗](#lib: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);
`

[1](#1)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10556)

*Effects*: These functions compute the Hermite polynomials
of their respective argumentsn and x[.](#1.sentence-1)

[2](#2)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10562)

*Returns*: Hn(x),
where Hn is given by Formula [29.36](#eq:sf.cmath.hermite),n is n, andx is x[.](#2.sentence-1)

Hn(x)=(−1)nex2dndxne−x2(29.36)

[3](#3)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10574)

*Remarks*: The effect of calling each of these functions
is implementation-defined
if n >= 128[.](#3.sentence-1)