numpy.polynomial.legendre.Legendre.fromroots

classmethod Legendre.fromroots(roots, domain=[], window=None)

Return series instance that has the specified roots.

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

Parameters:

roots : array_like

List of roots.

domain : {[], None, array_like}, optional

Domain for the resulting series. If None the domain is the interval from the smallest root to the largest. If [] the domain is the class domain. The default is [].

window : {None, array_like}, optional

Window for the returned series. If None the class window is used. The default is None.

Returns:

new_series : series

Series with the specified roots.