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. See 22.5.14 in [AS] for details. - Parameters:
- narray_like
- Degree of the polynomial. If not an integer, the result is determined via the relation to - eval_chebyt.
- xarray_like
- Points at which to evaluate the shifted Chebyshev polynomial 
- outndarray, optional
- Optional output array for the function values 
 
- Returns:
- Tscalar or 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 
 - References [AS]- Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.