orthax.legendre.legweight

orthax.legendre.legweight(x)Source

Weight function of the Legendre polynomials.

The weight function is \(1\) and the interval of integration is \([-1, 1]\). The Legendre polynomials are orthogonal, but not normalized, with respect to this weight function.

Parameters:

x (array_like) – Values at which the weight function will be computed.

Returns:

w (ndarray) – The weight function at x.