# scipy.special.roots_sh_jacobi¶

scipy.special.roots_sh_jacobi(n, p1, q1, mu=False)[source]

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
nint

p1float

(p1 - q1) must be > -1

q1float

q1 must be > 0

mubool, optional

If True, return the sum of the weights, optional.

Returns
xndarray

Sample points

wndarray

Weights

mufloat

Sum of the weights

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