Fungrim entry: 1f1fb4

G = \frac{1}{2} \int_{0}^{1} K\!\left({m}^{2}\right) \, dm

TeX:

G = \frac{1}{2} \int_{0}^{1} K\!\left({m}^{2}\right) \, dm

Definitions:

Fungrim symbol	Notation	Short description
`ConstCatalan`	$G$	Catalan's constant
`Integral`	$\int_{a}^{b} f(x) \, dx$	Integral
`EllipticK`	$K(m)$	Legendre complete elliptic integral of the first kind
`Pow`	${a}^{b}$	Power

Source code for this entry:

Entry(ID("1f1fb4"),
    Formula(Equal(ConstCatalan, Mul(Div(1, 2), Integral(EllipticK(Pow(m, 2)), For(m, 0, 1))))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC