Fungrim entry: a46d91

T_{2 n}\!\left(0\right) = {\left(-1\right)}^{n}

Assumptions:

n \in \mathbb{Z}

TeX:

T_{2 n}\!\left(0\right) = {\left(-1\right)}^{n}

n \in \mathbb{Z}

Definitions:

Fungrim symbol	Notation	Short description
`ChebyshevT`	$T_{n}\!\left(x\right)$	Chebyshev polynomial of the first kind
`Pow`	${a}^{b}$	Power
`ZZ`	$\mathbb{Z}$	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)))

Topics using this entry

2021-03-15 19:12:00.328586 UTC