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 \(n\). See 22.5.47 in [AS] for details.
 Parameters
 narray_like
Degree of the polynomial. If not an integer, the result is determined via the relation to the Gauss hypergeometric function.
 xarray_like
Points at which to evaluate the Chebyshev polynomial
 Returns
 Tndarray
Values of the Chebyshev polynomial
See also
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 order10000
.References
 AS
Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.