26 Numerics library [numerics]
26.9 Mathematical functions for floating-point types [c.math]
26.9.5 Mathematical special functions [sf.cmath]
26.9.5.1 Associated Laguerre polynomials [sf.cmath.assoc_laguerre]
double assoc_laguerre(unsigned n, unsigned m, double x);
float assoc_laguerref(unsigned n, unsigned m, float x);
long double assoc_laguerrel(unsigned n, unsigned m, long double x);
Effects: These functions compute the associated Laguerre polynomials of their respective arguments n, m, and x.
Returns:
![\[%
\mathsf{L}_n^m(x) =
(-1)^m \frac{\mathsf{d} ^ m}
{\mathsf{d}x ^ m} \, \mathsf{L}_{n+m}(x),
\quad \mbox{for $x \ge 0$}
\]](math/4266405807739483517.png)
where
n is n,
m is m, and
x is x.