numpy.polynomial.legendre.legadd — NumPy v2.2 Manual (original) (raw)

polynomial.legendre.legadd(c1, c2)[source]#

Add one Legendre series to another.

Returns the sum of two Legendre series c1 + c2. The arguments are sequences of coefficients ordered from lowest order term to highest, i.e., [1,2,3] represents the series P_0 + 2*P_1 + 3*P_2.

Parameters:

c1, c2array_like

1-D arrays of Legendre series coefficients ordered from low to high.

Returns:

outndarray

Array representing the Legendre series of their sum.

Notes

Unlike multiplication, division, etc., the sum of two Legendre series is a Legendre series (without having to “reproject” the result onto the basis set) so addition, just like that of “standard” polynomials, is simply “component-wise.”

Examples

from numpy.polynomial import legendre as L c1 = (1,2,3) c2 = (3,2,1) L.legadd(c1,c2) array([4., 4., 4.])