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])