[sf.cmath.laguerre]

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

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

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

#### 29.7.6.17 Laguerre polynomials [sf.cmath.laguerre]

[ð](#lib:laguerre)

`floating-point-type laguerre(unsigned n, floating-point-type x);
float        laguerref(unsigned n, float x);
long double  laguerrel(unsigned n, long double x);
`

[1](#1)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10594)

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

[2](#2)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10600)

*Returns*: Ln(x),
where Ln is given by Formula [29.37](#eq:sf.cmath.laguerre),n is n, andx is x[.](#2.sentence-1)

Ln(x)=exn!dndxn(xneâx)Â , forÂ xâ¥0(29.37)

[3](#3)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10612)

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