Fungrim entry: 9227bf

\Pi\!\left(m, m\right) = \frac{E(m)}{1 - m}

Assumptions:

m \in \mathbb{C}

TeX:

\Pi\!\left(m, m\right) = \frac{E(m)}{1 - m}

m \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`EllipticPi`	$\Pi\!\left(n, m\right)$	Legendre complete elliptic integral of the third kind
`EllipticE`	$E(m)$	Legendre complete elliptic integral of the second kind
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("9227bf"),
    Formula(Equal(EllipticPi(m, m), Div(EllipticE(m), Sub(1, m)))),
    Variables(m),
    Assumptions(Element(m, CC)))

Topics using this entry

2021-03-15 19:12:00.328586 UTC