# 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 $$(x - x^2)^{-1/2}$$.