`scipy.special._orthogonal:chebys`

Signature

def chebys ( n , monic = False )

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.

n : int: Degree of the polynomial.
monic : bool, optional: If True, scale the leading coefficient to be 1. Default is False.

The polynomials $S_{n} (x)$ are orthogonal over $[- 2, 2]$ with weight function $1 - (x /2)^{2}$ .