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scipy.special.eval_jacobi¶
- scipy.special.eval_jacobi(n, alpha, beta, x, out=None) = <ufunc 'eval_jacobi'>¶
Evaluate Jacobi polynomial at a point.
The Jacobi polynomials can be defined via the Gauss hypergeometric function 2F1 as
P(α,β)n(x)=(α+1)nΓ(n+1)2F1(−n,1+α+β+n;α+1;(1−z)/2)where (⋅)n is the Pochhammer symbol; see poch. When n is an integer the result is a polynomial of degree n.
Parameters: n : array_like
Degree of the polynomial. If not an integer the result is determined via the relation to the Gauss hypergeometric function.
alpha : array_like
Parameter
beta : array_like
Parameter
x : array_like
Points at which to evaluate the polynomial
Returns: P : ndarray
Values of the Jacobi polynomial
See also
- roots_jacobi
- roots and quadrature weights of Jacobi polynomials
- jacobi
- Jacobi polynomial object
- hyp2f1
- Gauss hypergeometric function