# scipy.special.sh_chebyt#

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

Shifted Chebyshev polynomial of the first kind.

Defined as $$T^*_n(x) = T_n(2x - 1)$$ for $$T_n$$ 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 $$T^*_n$$ are orthogonal over $$[0, 1]$$ with weight function $$(x - x^2)^{-1/2}$$.