scipy.special.
chebys#
- scipy.special.chebys(n, monic=False)[source]#
- Chebyshev polynomial of the second kind on \([-2, 2]\). - Defined as \(S_n(x) = U_n(x/2)\) where \(U_n\) is the nth Chebychev polynomial of the second kind. - Parameters:
- nint
- Degree of the polynomial. 
- monicbool, optional
- If True, scale the leading coefficient to be 1. Default is False. 
 
- Returns:
- Sorthopoly1d
- Chebyshev polynomial of the second kind on \([-2, 2]\). 
 
 - See also - chebyu
- Chebyshev polynomial of the second kind 
 - Notes - The polynomials \(S_n(x)\) are orthogonal over \([-2, 2]\) with weight function \(\sqrt{1 - (x/2)}^2\). - References [1]- Abramowitz and Stegun, “Handbook of Mathematical Functions” Section 22. National Bureau of Standards, 1972.