Fungrim entry: 4dabda

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

TeX:

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

Definitions:

Fungrim symbol	Notation	Short description
`IncompleteEllipticE`	$E\!\left(\phi, m\right)$	Legendre incomplete elliptic integral of the second kind
`Pi`	$\pi$	The constant pi (3.14...)
`Sqrt`	$\sqrt{z}$	Principal square root
`Pow`	${a}^{b}$	Power
`Gamma`	$\Gamma(z)$	Gamma function

Source code for this entry:

Entry(ID("4dabda"),
    Formula(Equal(IncompleteEllipticE(Div(Pi, 4), 2), Div(Mul(Sqrt(2), Pow(Pi, Div(3, 2))), Pow(Gamma(Div(1, 4)), 2)))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC