scipy.special.

sh_chebyt#

scipy.special.sh_chebyt(n, monic=False)[source]#

Shifted Chebyshev polynomial of the first kind.

Defined as Tn(x)=Tn(2x1) for Tn the nth Chebyshev polynomial of the first kind.

Parameters:
nint

Degree of the polynomial.

monicbool, optional

If True, scale the leading coefficient to be 1. Default is False.

Returns:
Torthopoly1d

Shifted Chebyshev polynomial of the first kind.

Notes

The polynomials Tn are orthogonal over [0,1] with weight function (xx2)1/2.