Fungrim entry: 0cc11f

K(m) = R_F\!\left(0, 1 - m, 1\right)

Assumptions:

m \in \mathbb{C}

TeX:

K(m) = R_F\!\left(0, 1 - m, 1\right)

m \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`EllipticK`	$K(m)$	Legendre complete elliptic integral of the first kind
`CarlsonRF`	$R_F\!\left(x, y, z\right)$	Carlson symmetric elliptic integral of the first kind
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("0cc11f"),
    Formula(Equal(EllipticK(m), CarlsonRF(0, Sub(1, m), 1))),
    Variables(m),
    Assumptions(Element(m, CC)))

Topics using this entry

2021-03-15 19:12:00.328586 UTC