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# scipy.special.roots_genlaguerre

`scipy.special.``roots_genlaguerre`(n, alpha, mu=False)

  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`