scipy.special.eval_sh_jacobi¶
-
scipy.special.eval_sh_jacobi(n, p, q, x, out=None) = <ufunc 'eval_sh_jacobi'>¶ Evaluate shifted Jacobi polynomial at a point.
Defined by
\[G_n^{(p, q)}(x) = \binom{2n + p - 1}{n}^{-1} P_n^{(p - q, q - 1)}(2x - 1),\]where \(P_n^{(\cdot, \cdot)}\) is the n-th Jacobi polynomial.
Parameters: - n : int
Degree of the polynomial. If not an integer, the result is determined via the relation to
binomandeval_jacobi.- p : float
Parameter
- q : float
Parameter
Returns: - G : ndarray
Values of the shifted Jacobi polynomial.
See also
roots_sh_jacobi- roots and quadrature weights of shifted Jacobi polynomials
sh_jacobi- shifted Jacobi polynomial object
eval_jacobi- evaluate Jacobi polynomials