Processing math: 100%

Previous topic

scipy.special.chebyu

Next topic

scipy.special.chebys

scipy.special.chebyc

scipy.special.chebyc(n, monic=False)[source]

Chebyshev polynomial of the first kind on [2,2].

Defined as Cn(x)=2Tn(x/2), where Tn is the nth Chebychev polynomial of the first kind.

Parameters:

n : int

Degree of the polynomial.

monic : bool, optional

If True, scale the leading coefficient to be 1. Default is False.

Returns:

C : orthopoly1d

Chebyshev polynomial of the first kind on [2,2].

See also

chebyt
Chebyshev polynomial of the first kind.

Notes

The polynomials Cn(x) are orthogonal over [2,2] with weight function 1/1(x/2)2.

References

[R390]Abramowitz and Stegun, “Handbook of Mathematical Functions” Section 22. National Bureau of Standards, 1972.