24 Numerics library [numerics]

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

double       laguerre(unsigned n, double x);
float        laguerref(unsigned n, float x);
long double  laguerrel(unsigned n, long double x);

Effects: These functions compute the Laguerre polynomials of their respective arguments n and x.

Returns:

$L_{n} (x) = \frac{e^{x}}{n!} \frac{d^{n}}{d x^{n}} (x^{n} e^{- x}), for x \geq 0,$

where n is n and x is x.

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