numpy.polynomial.hermite.hermmul

numpy.polynomial.hermite.hermmul(c1, c2) [source]

Multiply one Hermite series by another.

Returns the product of two Hermite series c1 * c2. The arguments are sequences of coefficients, from lowest order “term” to highest, e.g., [1,2,3] represents the series P_0 + 2*P_1 + 3*P_2.

Parameters

c1, c2array_like

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

Returns

outndarray

Of Hermite series coefficients representing their product.

See also

hermadd, hermsub, hermmulx, hermdiv, hermpow

Notes

In general, the (polynomial) product of two C-series results in terms that are not in the Hermite polynomial basis set. Thus, to express the product as a Hermite series, it is necessary to “reproject” the product onto said basis set, which may produce “unintuitive” (but correct) results; see Examples section below.

Examples

>>> from numpy.polynomial.hermite import hermmul
>>> hermmul([1, 2, 3], [0, 1, 2])
array([52.,  29.,  52.,   7.,   6.])