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# scipy.special.sh_chebyt

`scipy.special.``sh_chebyt`(n, monic=False)

  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: | n : int Degree of the polynomial. monic : bool, optional If True, scale the leading coefficient to be 1. Default is False.
  Returns: | T : orthopoly1d Shifted Chebyshev polynomial of the first kind.

  Notes

  The polynomials \(T^*_n\) are orthogonal over \([0, 1]\) with weight function \((x - x^2)^{-1/2}\).