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
narray_like

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

xarray_like

Points at which to evaluate the Chebyshev polynomial

Returns
Sndarray

Values of the Chebyshev polynomial

See also

roots_chebys

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

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