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NotesParametersReturns
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 True, scale the leading coefficient to be 1. Default is 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 :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

chebyuchebyu

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /scipy/special/_orthogonal.py#2064
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