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# scipy.special.roots_sh_jacobi

`scipy.special.``roots_sh_jacobi`(n, p1, q1, mu=False)

  Gauss-Jacobi (shifted) quadrature.

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

  Parameters: | n : int quadrature order p1 : float (p1 - q1) must be > -1 q1 : float q1 must be > 0 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`