numpy.polynomial.legendre.legmul(c1, c2)
[source]
Multiply one Legendre series by another.
Returns the product of two Legendre 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 Legendre series coefficients ordered from low to high. |
---|---|
Returns: |
out : ndarray Of Legendre series coefficients representing their product. |
In general, the (polynomial) product of two C-series results in terms that are not in the Legendre polynomial basis set. Thus, to express the product as a Legendre 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 import legendre as L >>> c1 = (1,2,3) >>> c2 = (3,2) >>> P.legmul(c1,c2) # multiplication requires "reprojection" array([ 4.33333333, 10.4 , 11.66666667, 3.6 ])
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https://docs.scipy.org/doc/numpy-1.13.0/reference/generated/numpy.polynomial.legendre.legmul.html