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.
- c1, c2 : array_like
1-D arrays of Hermite series coefficients ordered from low to high.
- out : ndarray
Of Hermite series coefficients representing their product.
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.
>>> from numpy.polynomial.hermite import hermmul >>> hermmul([1, 2, 3], [0, 1, 2]) array([ 52., 29., 52., 7., 6.])