scipy.special.eval_chebyc

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

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

These polynomials are defined as

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

where \(T_n\) is a Chebyshev polynomial of the first kind.

Parameters:

n : array_like

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

x : array_like

Points at which to evaluate the Chebyshev polynomial

Returns:

C : ndarray

Values of the Chebyshev polynomial

See also

roots_chebyc

roots and quadrature weights of Chebyshev polynomials of the first kind on [-2, 2]

chebyc

Chebyshev polynomial object

numpy.polynomial.chebyshev.Chebyshev

Chebyshev series

eval_chebyt

evaluate Chebycshev polynomials of the first kind