# scipy.special.chebyc¶

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

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

Defined as $$C_n(x) = 2T_n(x/2)$$, where $$T_n$$ 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. C : orthopoly1d Chebyshev polynomial of the first kind on $$[-2, 2]$$.

chebyt
Chebyshev polynomial of the first kind.

Notes

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

References

 [R348] Abramowitz and Stegun, “Handbook of Mathematical Functions” Section 22. National Bureau of Standards, 1972.

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