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Fungrim entry: 2ef763

E ⁣(π2,m)=E(m)E\!\left(\frac{-\pi}{2}, m\right) = -E(m)
Assumptions:mCm \in \mathbb{C}
E\!\left(\frac{-\pi}{2}, m\right) = -E(m)

m \in \mathbb{C}
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...)
EllipticEE(m)E(m) Legendre complete elliptic integral of the second kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
    Formula(Equal(IncompleteEllipticE(Div(Neg(Pi), 2), m), Neg(EllipticE(m)))),
    Assumptions(Element(m, CC)))

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2021-03-15 19:12:00.328586 UTC