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.