numpy.polynomial.legendre.legweight
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numpy.polynomial.legendre.legweight(x)[source] -
Weight function of the Legendre polynomials.
The weight function is
and the interval of integration is ![[-1, 1]](data:image/svg+xml;base64,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)
. 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.
Notes
New in version 1.7.0.
-
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Licensed under the 3-clause BSD License.
https://docs.scipy.org/doc/numpy-1.16.1/reference/generated/numpy.polynomial.legendre.legweight.html