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.

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])