bundles / scipy 1.17.1 / scipy / special / _basic / assoc_laguerre

function

`scipy.special._basic:assoc_laguerre`

source: /scipy/special/_basic.py:1507

Signature

def assoc_laguerre(x, n, k = 0.0)

Summary

Compute the generalized (associated) Laguerre polynomial of degree n and order k.

Extended Summary

The polynomial $L_{n}^{(k)} (x)$ is orthogonal over [0, inf), with weighting function exp(-x) * x**k with k > -1.

Parameters

x : float or ndarray: Points where to evaluate the Laguerre polynomial
n : int: Degree of the Laguerre polynomial
k : int: Order of the Laguerre polynomial

Returns

: assoc_laguerre: float or ndarray: Associated laguerre polynomial values

Notes

assoc_laguerre is a simple wrapper around eval_genlaguerre, with reversed argument order (x, n, k=0.0) --> (n, k, x).

Aliases

scipy.special.assoc_laguerre