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 \((x - x^2)^{-1/2}\).