# 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.