numpy.polynomial.hermite_e.hermemulx#

polynomial.hermite_e.hermemulx(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

hermeadd, hermesub, hermemul, hermediv, hermepow

Notes

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

\[xP_i(x) = (P_{i + 1}(x) + iP_{i - 1}(x)))\]

Examples

>>> from numpy.polynomial.hermite_e import hermemulx
>>> hermemulx([1, 2, 3])
array([2.,  7.,  2.,  3.])