scipy.special.
assoc_laguerre#
- scipy.special.assoc_laguerre(x, n, k=0.0)[source]#
Compute the generalized (associated) Laguerre polynomial of degree n and order k.
The polynomial \(L^{(k)}_n(x)\) is orthogonal over
[0, inf)
, with weighting functionexp(-x) * x**k
withk > -1
.- Parameters:
- xfloat or ndarray
Points where to evaluate the Laguerre polynomial
- nint
Degree of the Laguerre polynomial
- kint
Order of the Laguerre polynomial
- Returns:
- assoc_laguerre: float or ndarray
Associated laguerre polynomial values
Notes
assoc_laguerre
is a simple wrapper aroundeval_genlaguerre
, with reversed argument order(x, n, k=0.0) --> (n, k, x)
.