polynomial.legendre.
legmul
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.
P_0 + 2*P_1 + 3*P_2
1-D arrays of Legendre series coefficients ordered from low to high.
Of Legendre series coefficients representing their product.
See also
legadd
legsub
legmulx
legdiv
legpow
Notes
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.
Examples
>>> from numpy.polynomial import legendre as L >>> c1 = (1,2,3) >>> c2 = (3,2) >>> L.legmul(c1,c2) # multiplication requires "reprojection" array([ 4.33333333, 10.4 , 11.66666667, 3.6 ]) # may vary