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Fungrim entry: a46d91

T2n ⁣(0)=(1)nT_{2 n}\!\left(0\right) = {\left(-1\right)}^{n}
Assumptions:nZn \in \mathbb{Z}
TeX:
T_{2 n}\!\left(0\right) = {\left(-1\right)}^{n}

n \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
ChebyshevTTn ⁣(x)T_{n}\!\left(x\right) Chebyshev polynomial of the first kind
Powab{a}^{b} Power
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("a46d91"),
    Formula(Equal(ChebyshevT(Mul(2, n), 0), Pow(-1, n))),
    Variables(n),
    Assumptions(Element(n, ZZ)))

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2021-03-15 19:12:00.328586 UTC