numpy.polynomial.legendre.Legendre.fromroots¶

static Legendre.fromroots(roots, domain=[-1, 1], window=[-1, 1])¶

Return Legendre instance with specified roots.

Returns an instance of Legendre representing the product (x - r[0])*(x - r[1])*...*(x - r[n-1]), where r is the list of roots.

Parameters :

Parameters :	roots : array_like List of roots. domain : {array_like, None}, optional Domain for the resulting instance of Legendre. If none the domain is the interval from the smallest root to the largest. The default is [-1,1]. window : array_like, optional Window for the resulting instance of Legendre. The default value is [-1,1].
Returns :	object : Legendre instance Series with the specified roots.

roots : array_like

List of roots.

domain : {array_like, None}, optional

Domain for the resulting instance of Legendre. If none the domain is the interval from the smallest root to the largest. The default is [-1,1].

window : array_like, optional

Window for the resulting instance of Legendre. The default value is [-1,1].

Returns :

object : Legendre instance

Series with the specified roots.