5.7.2.11.38. scipy.special.l_roots¶

scipy.special.l_roots(n, mu=False)[source]¶

Gauss-Laguerre quadrature.

Computes the sample points and weights for Gauss-Laguerre quadrature. The sample points are the roots of the n-th degree Laguerre polynomial, \(L_n(x)\). These sample points and weights correctly integrate polynomials of degree \(2n - 1\) or less over the interval \([0, \infty]\) with weight function \(f(x) = e^{-x}\).

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

See also

scipy.integrate.quadrature, scipy.integrate.fixed_quad, numpy.polynomial.laguerre.laggauss