scipy.special.roots_laguerre¶
-
scipy.special.
roots_laguerre
(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
- nint
quadrature order
- mubool, optional
If True, return the sum of the weights, optional.
- Returns
- xndarray
Sample points
- wndarray
Weights
- mufloat
Sum of the weights