Fungrim entry: 6e9544

R_J\!\left(1, 1, 2, 4\right) = \log\!\left(1 + \sqrt{2}\right) - \frac{\sqrt{2} \pi}{8}

TeX:

R_J\!\left(1, 1, 2, 4\right) = \log\!\left(1 + \sqrt{2}\right) - \frac{\sqrt{2} \pi}{8}

Definitions:

Fungrim symbol	Notation	Short description
`CarlsonRJ`	$R_J\!\left(x, y, z, w\right)$	Carlson symmetric elliptic integral of the third kind
`Log`	$\log(z)$	Natural logarithm
`Sqrt`	$\sqrt{z}$	Principal square root
`Pi`	$\pi$	The constant pi (3.14...)

Source code for this entry:

Entry(ID("6e9544"),
    Formula(Equal(CarlsonRJ(1, 1, 2, 4), Sub(Log(Add(1, Sqrt(2))), Div(Mul(Sqrt(2), Pi), 8)))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC