numpy.polynomial.laguerre.lagmul

polynomial.laguerre. lagmul ( c1, c2 ) [source]

Multiply one Laguerre series by another.

Returns the product of two Laguerre 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, 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.

See also

lagadd, lagsub, lagmulx, lagdiv, lagpow

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.

Examples

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