26 Numerics library [numerics]

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

26.9.5 Mathematical special functions [sf.cmath]

26.9.5.16 Laguerre polynomials [sf.cmath.laguerre]

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

1

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

2

Returns: \[% \mathsf{L}_n(x) = \frac{e^x}{n!} \frac{ \mathsf{d} ^ n} { \mathsf{d}x ^ n} \, (x^n e^{-x}), \quad \mbox{for $x \ge 0$} \] where n is n and x is x.

3

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