numpy.polynomial.hermite.hermmulx#

polynomial.hermite.hermmulx(c)[source]#

Multiply a Hermite series by x.

Multiply the Hermite series c by x, where x is the independent variable.

Parameters:
carray_like

1-D array of Hermite series coefficients ordered from low to high.

Returns:
outndarray

Array representing the result of the multiplication.

See also

hermadd, hermsub, hermmul, hermdiv, hermpow

Notes

The multiplication uses the recursion relationship for Hermite polynomials in the form

\[xP_i(x) = (P_{i + 1}(x)/2 + i*P_{i - 1}(x))\]

Examples

>>> from numpy.polynomial.hermite import hermmulx
>>> hermmulx([1, 2, 3])
array([2. , 6.5, 1. , 1.5])