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Fungrim entry: 2a5337

U2n ⁣(0)=(−1)nU_{2 n}\!\left(0\right) = {\left(-1\right)}^{n}
Assumptions:n∈Zn \in \mathbb{Z}
TeX:
U_{2 n}\!\left(0\right) = {\left(-1\right)}^{n}

n \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
ChebyshevUUn ⁣(x)U_{n}\!\left(x\right) Chebyshev polynomial of the second kind
Powab{a}^{b} Power
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("2a5337"),
    Formula(Equal(ChebyshevU(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