5.7.2.11.39. scipy.special.la_roots¶

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

Gauss-generalized Laguerre quadrature.

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

Parameters:	n : int quadrature order alpha : float alpha must be > -1 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