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.