# scipy.special.chebyt¶

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

Chebyshev polynomial of the first kind.

Defined to be the solution of

$(1 - x^2)\frac{d^2}{dx^2}T_n - x\frac{d}{dx}T_n + n^2T_n = 0;$

$$T_n$$ is a polynomial of degree $$n$$.

Parameters: n : int Degree of the polynomial. monic : bool, optional If True, scale the leading coefficient to be 1. Default is False. T : orthopoly1d Chebyshev polynomial of the first kind.

chebyu
Chebyshev polynomial of the second kind.

Notes

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

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