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Fungrim entry: dd67fb

Π ⁣(0,m)=K(m)\Pi\!\left(0, m\right) = K(m)
Assumptions:m∈Cm \in \mathbb{C}
TeX:
\Pi\!\left(0, m\right) = K(m)

m \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
EllipticPiΠ ⁣(n,m)\Pi\!\left(n, m\right) Legendre complete elliptic integral of the third kind
EllipticKK(m)K(m) Legendre complete elliptic integral of the first kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("dd67fb"),
    Formula(Equal(EllipticPi(0, m), EllipticK(m))),
    Variables(m),
    Assumptions(Element(m, CC)))

Topics using this entry

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2021-03-15 19:12:00.328586 UTC