numpy.polynomial.hermite.hermweight

polynomial.hermite.hermweight(x)[source]

Weight function of the Hermite polynomials.

The weight function is \(\exp(-x^2)\) and the interval of integration is \([-\inf, \inf]\). the Hermite polynomials are orthogonal, but not normalized, with respect to this weight function.

Parameters:

xarray_like

Values at which the weight function will be computed.

Returns:

wndarray

The weight function at x.

Examples

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>>> import numpy as np
>>> from numpy.polynomial.hermite import hermweight
>>> x = np.arange(-2, 2)
>>> hermweight(x)
array([0.01831564, 0.36787944, 1.        , 0.36787944])

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