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chebys(n, monic=False)

Defined as $S_n(x) = U_n(x/2)$ where $U_n$ is the nth Chebychev polynomial of the second kind.

Notes

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

Parameters

n : int

Degree of the polynomial.

monic : bool, optional

If :None:None:`True`, scale the leading coefficient to be 1. Default is :None:None:`False`.

Returns

S : orthopoly1d

Chebyshev polynomial of the second kind on $[-2, 2]$ .

Chebyshev polynomial of the second kind on $[-2, 2]$ .

See Also

chebyu

Chebyshev polynomial of the second kind

Examples

See :

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GitHub : /scipy/special/_orthogonal.py#2052
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