Fungrim entry: 6520e7

E(m) = 2 R_G\!\left(0, 1 - m, 1\right)

Assumptions:

m \in \mathbb{C}

TeX:

E(m) = 2 R_G\!\left(0, 1 - m, 1\right)

m \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`EllipticE`	$E(m)$	Legendre complete elliptic integral of the second kind
`CarlsonRG`	$R_G\!\left(x, y, z\right)$	Carlson symmetric elliptic integral of the second kind
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("6520e7"),
    Formula(Equal(EllipticE(m), Mul(2, CarlsonRG(0, Sub(1, m), 1)))),
    Variables(m),
    Assumptions(Element(m, CC)))

Topics using this entry

2021-03-15 19:12:00.328586 UTC