numpy.polynomial.laguerre.lagweight
-
numpy.polynomial.laguerre.lagweight(x)[source] -
Weight function of the Laguerre polynomials.
The weight function is
and the interval of integration is ![[0, \inf]](data:image/svg+xml;base64,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)
. The Laguerre 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.
-
© 2005–2019 NumPy Developers
Licensed under the 3-clause BSD License.
https://docs.scipy.org/doc/numpy-1.15.4/reference/generated/numpy.polynomial.laguerre.lagweight.html