numpy.polynomial.laguerre.lagmul — NumPy v1.13 Manual (original) (raw)
numpy.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. |
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.])