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Fungrim entry: 3df748

Pn ⁣(−1)=(−1)nP_{n}\!\left(-1\right) = {\left(-1\right)}^{n}
Assumptions:n∈Z≥0n \in \mathbb{Z}_{\ge 0}
TeX:
P_{n}\!\left(-1\right) = {\left(-1\right)}^{n}

n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
LegendrePolynomialPn ⁣(z)P_{n}\!\left(z\right) Legendre polynomial
Powab{a}^{b} Power
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("3df748"),
    Formula(Equal(LegendrePolynomial(n, -1), Pow(-1, n))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(0))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC