# scipy.special.eval_chebyt¶

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

Evaluate Chebyshev polynomial of the first kind at a point.

The Chebyshev polynomials of the first kind can be defined via the Gauss hypergeometric function $${}_2F_1$$ as

$T_n(x) = {}_2F_1(n, -n; 1/2; (1 - x)/2).$

When $$n$$ is an integer the result is a polynomial of degree $$n$$.

Parameters: n : array_like Degree of the polynomial. If not an integer, the result is determined via the relation to the Gauss hypergeometric function. x : array_like Points at which to evaluate the Chebyshev polynomial T : ndarray Values of the Chebyshev polynomial

roots_chebyt
roots and quadrature weights of Chebyshev polynomials of the first kind
chebyu
Chebychev polynomial object
eval_chebyu
evaluate Chebyshev polynomials of the second kind
hyp2f1
Gauss hypergeometric function
numpy.polynomial.chebyshev.Chebyshev
Chebyshev series

Notes

This routine is numerically stable for x in [-1, 1] at least up to order 10000.

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