numpy.polynomial.hermite_e.hermeweight
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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
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xarray_like -
Values at which the weight function will be computed.
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- Returns
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wndarray -
The weight function at
x.
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Notes
New in version 1.7.0.
© 2005–2020 NumPy Developers
Licensed under the 3-clause BSD License.
https://numpy.org/doc/1.19/reference/generated/numpy.polynomial.hermite_e.hermeweight.html