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Fungrim entry: 2245df

E ⁣(πk2,1)=kE\!\left(\frac{\pi k}{2}, 1\right) = k
Assumptions:kZk \in \mathbb{Z}
TeX:
E\!\left(\frac{\pi k}{2}, 1\right) = k

k \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
IncompleteEllipticEE ⁣(ϕ,m)E\!\left(\phi, m\right) Legendre incomplete elliptic integral of the second kind
Piπ\pi The constant pi (3.14...)
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("2245df"),
    Formula(Equal(IncompleteEllipticE(Div(Mul(Pi, k), 2), 1), k)),
    Variables(k),
    Assumptions(Element(k, ZZ)))

Topics using this entry

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2021-03-15 19:12:00.328586 UTC