`scipy.special._orthogonal:roots_laguerre`

source: /scipy/special/_orthogonal.py :690

Signature

def roots_laguerre ( n , mu = False )

Summary

Gauss-Laguerre quadrature.

Extended Summary

Compute the sample points and weights for Gauss-Laguerre quadrature. The sample points are the roots of the nth degree Laguerre polynomial, $L_{n} (x)$ . These sample points and weights correctly integrate polynomials of degree $2 n - 1$ or less over the interval $[0, \infty]$ with weight function $w (x) = e^{- x}$ . See 22.2.13 in [AS] for details.

Parameters

n : int: quadrature order
mu : bool, optional: If True, return the sum of the weights, optional.

Returns

x : ndarray: Sample points
w : ndarray: Weights
mu : float: Sum of the weights

Aliases