scipy.special.eval_sh_chebyt

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

Evaluate shifted Chebyshev polynomial of the first kind at a point.

These polynomials are defined as

\[T_n^*(x) = T_n(2x - 1)\]

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 shifted Chebyshev polynomial

Returns:

T : ndarray

Values of the shifted Chebyshev polynomial

See also

roots_sh_chebyt

roots and quadrature weights of shifted Chebyshev polynomials of the first kind

sh_chebyt

shifted Chebyshev polynomial object

eval_chebyt

evaluate Chebyshev polynomials of the first kind

numpy.polynomial.chebyshev.Chebyshev

Chebyshev series