Fungrim entry: 0b8fd6

F\!\left(\frac{\pi}{2}, m\right) = K(m)

Assumptions:

m \in \mathbb{C}

TeX:

F\!\left(\frac{\pi}{2}, m\right) = K(m)

m \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`IncompleteEllipticF`	$F\!\left(\phi, m\right)$	Legendre incomplete elliptic integral of the first kind
`Pi`	$\pi$	The constant pi (3.14...)
`EllipticK`	$K(m)$	Legendre complete elliptic integral of the first kind
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("0b8fd6"),
    Formula(Equal(IncompleteEllipticF(Div(Pi, 2), m), EllipticK(m))),
    Variables(m),
    Assumptions(Element(m, CC)))

Topics using this entry

2021-03-15 19:12:00.328586 UTC