# scipy.special.roots_gegenbauer¶

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

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

Parameters
nint

alphafloat

alpha must be > -0.5

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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