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. See 2.2.11 in [AS] for details. - Parameters:
- narray_like
- Degree of the polynomial. If not an integer, the value is determined via the relation to - eval_legendre.
- xarray_like
- Points at which to evaluate the shifted Legendre polynomial 
- outndarray, optional
- Optional output array for the function values 
 
- Returns:
- Pscalar or 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 
 - References [AS]- Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.