Fungrim entry: 5d2c01

E(2) = \frac{\sqrt{2} {\pi}^{3 / 2}}{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}} \left(1 + i\right)

TeX:

E(2) = \frac{\sqrt{2} {\pi}^{3 / 2}}{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}} \left(1 + i\right)

Definitions:

Fungrim symbol	Notation	Short description
`EllipticE`	$E(m)$	Legendre complete elliptic integral of the second kind
`Sqrt`	$\sqrt{z}$	Principal square root
`Pow`	${a}^{b}$	Power
`Pi`	$\pi$	The constant pi (3.14...)
`Gamma`	$\Gamma(z)$	Gamma function
`ConstI`	$i$	Imaginary unit

Source code for this entry:

Entry(ID("5d2c01"),
    Formula(Equal(EllipticE(2), Mul(Div(Mul(Sqrt(2), Pow(Pi, Div(3, 2))), Pow(Gamma(Div(1, 4)), 2)), Add(1, ConstI)))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC