# 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
nint

Degree of the polynomial. If not an integer, the result is determined via the relation to binom and eval_jacobi.

pfloat

Parameter

qfloat

Parameter

Returns
Gndarray

Values of the shifted Jacobi polynomial.

roots_sh_jacobi

roots and quadrature weights of shifted Jacobi polynomials

sh_jacobi

shifted Jacobi polynomial object

eval_jacobi

evaluate Jacobi polynomials

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