numpy.polynomial.hermite_e.hermeweight
-
numpy.polynomial.hermite_e.hermeweight(x)[source] -
Weight function of the Hermite_e polynomials.
The weight function is
and the interval of integration is ![[-\inf, \inf]](data:image/svg+xml;base64,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)
. the HermiteE 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.hermite_e.hermeweight.html