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jacobi
In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials. They are orthogonal with respect to the weight in the interval [-1, 1].
Evaluates the Jacobi polynomial of some order n with the parameters alpha and beta at the given point z in C.
Argument n
Scalar
Argument alpha
Scalar
Argument beta
Scalar
Argument z
Scalar
Returns 1. entry
Scalar
jacobi(1, 0, 2, 3.5)
Evaluates the Jacobi polynomial of order 1 with alpha = 0 and beta = 2 at the point z = 3.5.
Evaluates the Jacobi polynomial of some order n with the parameters alpha and beta at the given points of the matrix Z in C.
Argument n
Scalar
Argument alpha
Scalar
Argument beta
Scalar
Argument Z
Matrix
Returns 1. entry
Matrix
jacobi(2, 1, 1, [-1, 0.5, 0, 0.5, 1])
Evaluates the Jacobi polynomial of order 2 with alpha = 1 and beta = 1 at the points z = -1, 0.5, 0, 0.5 and 1.