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Fungrim entry: 9227bf

Π ⁣(m,m)=E(m)1m\Pi\!\left(m, m\right) = \frac{E(m)}{1 - m}
Assumptions:mCm \in \mathbb{C}
\Pi\!\left(m, m\right) = \frac{E(m)}{1 - m}

m \in \mathbb{C}
Fungrim symbol Notation Short description
EllipticPiΠ ⁣(n,m)\Pi\!\left(n, m\right) Legendre complete elliptic integral of the third kind
EllipticEE(m)E(m) Legendre complete elliptic integral of the second kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
    Formula(Equal(EllipticPi(m, m), Div(EllipticE(m), Sub(1, m)))),
    Assumptions(Element(m, CC)))

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2021-03-15 19:12:00.328586 UTC