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lagmul(c1, c2)

Returns the product of two Laguerre 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 Laguerre polynomial basis set. Thus, to express the product as a Laguerre 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 Laguerre series coefficients ordered from low to high.

Returns

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

Multiply one Laguerre series by another.

Examples

>>> from numpy.polynomial.laguerre import lagmul
... lagmul([1, 2, 3], [0, 1, 2])
array([  8., -13.,  38., -51.,  36.])

See :

Back References

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

numpy.polynomial.laguerre.lagpow numpy.polynomial.laguerre.lagmulx numpy.polynomial.laguerre.lagdiv numpy.polynomial.laguerre.lagadd numpy.polynomial.laguerre.lagsub

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