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Fungrim entry: 85eebc

P2n+1 ⁣(0)=0P_{2 n + 1}\!\left(0\right) = 0
Assumptions:n∈Z≥0n \in \mathbb{Z}_{\ge 0}
TeX:
P_{2 n + 1}\!\left(0\right) = 0

n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
LegendrePolynomialPn ⁣(z)P_{n}\!\left(z\right) Legendre polynomial
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("85eebc"),
    Formula(Equal(LegendrePolynomial(Add(Mul(2, n), 1), 0), 0)),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(0))))

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2021-03-15 19:12:00.328586 UTC