scipy.special.sh_legendre¶
-
scipy.special.sh_legendre(n, monic=False)[source]¶ Shifted Legendre polynomial.
Defined as \(P^*_n(x) = P_n(2x - 1)\) for \(P_n\) the nth Legendre polynomial.
- Parameters
- nint
Degree of the polynomial.
- monicbool, optional
If True, scale the leading coefficient to be 1. Default is False.
- Returns
- Porthopoly1d
Shifted Legendre polynomial.
Notes
The polynomials \(P^*_n\) are orthogonal over \([0, 1]\) with weight function 1.