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hermmul(c1, c2)

Returns the product of two Hermite series :None:None:`c1` * :None:None:`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 .

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.

Parameters

c1, c2 : array_like: 1-D arrays of Hermite series coefficients ordered from low to high.

Returns

out : ndarray: Of Hermite series coefficients representing their product.

Multiply one Hermite series by another.

Examples

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

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

numpy.polynomial.hermite.hermsub numpy.polynomial.hermite.hermmulx numpy.polynomial.hermite.hermadd numpy.polynomial.hermite.hermdiv numpy.polynomial.hermite.hermpow

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