SciPy

scipy.special.eval_sh_legendre

scipy.special.eval_sh_legendre(n, x, out=None) = <ufunc 'eval_sh_legendre'>

Evaluate shifted Legendre polynomial at a point.

These polynomials are defined as

\[P_n^*(x) = P_n(2x - 1)\]

where \(P_n\) is a Legendre polynomial.

Parameters:
n : array_like

Degree of the polynomial. If not an integer, the value is determined via the relation to eval_legendre.

x : array_like

Points at which to evaluate the shifted Legendre polynomial

Returns:
P : ndarray

Values of the shifted Legendre polynomial

See also

roots_sh_legendre
roots and quadrature weights of shifted Legendre polynomials
sh_legendre
shifted Legendre polynomial object
eval_legendre
evaluate Legendre polynomials
numpy.polynomial.legendre.Legendre
Legendre series