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Fungrim entry: eba27c

E ⁣(π6,4)=2E ⁣(14)−32K ⁣(14)E\!\left(\frac{\pi}{6}, 4\right) = 2 E\!\left(\frac{1}{4}\right) - \frac{3}{2} K\!\left(\frac{1}{4}\right)
TeX:
E\!\left(\frac{\pi}{6}, 4\right) = 2 E\!\left(\frac{1}{4}\right) - \frac{3}{2} K\!\left(\frac{1}{4}\right)
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...)
EllipticEE(m)E(m) Legendre complete elliptic integral of the second kind
EllipticKK(m)K(m) Legendre complete elliptic integral of the first kind
Source code for this entry:
Entry(ID("eba27c"),
    Formula(Equal(IncompleteEllipticE(Div(Pi, 6), 4), Sub(Mul(2, EllipticE(Div(1, 4))), Mul(Div(3, 2), EllipticK(Div(1, 4)))))))

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2021-03-15 19:12:00.328586 UTC