SciPy

scipy.special.eval_chebys

scipy.special.eval_chebys(n, x, out=None) = <ufunc 'eval_chebys'>

Evaluate Chebyshev polynomial of the second kind on [-2, 2] at a point.

These polynomials are defined as

\[S_n(x) = U_n(x/2)\]

where \(U_n\) is a Chebyshev polynomial of the second kind.

Parameters:

n : array_like

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

x : array_like

Points at which to evaluate the Chebyshev polynomial

Returns:

S : ndarray

Values of the Chebyshev polynomial

See also

s_roots
roots and quadrature weights of Chebyshev polynomials of the second kind on [-2, 2]
chebys
Chebyshev polynomial object
eval_chebyu
evaluate Chebyshev polynomials of the second kind