Fungrim entry: 53d869

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

Assumptions:

x \in \mathbb{C}

TeX:

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

x \in \mathbb{C}

Definitions:

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

Source code for this entry:

Entry(ID("53d869"),
    Formula(Equal(CarlsonRF(0, 1, x), EllipticK(Sub(1, x)))),
    Variables(x),
    Assumptions(Element(x, CC)))

Topics using this entry

2021-03-15 19:12:00.328586 UTC