Fungrim entry: 6c4567

R_F\!\left(0, \frac{1}{2}, 1\right) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{\pi}}

TeX:

R_F\!\left(0, \frac{1}{2}, 1\right) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{\pi}}

Definitions:

Fungrim symbol	Notation	Short description
`CarlsonRF`	$R_F\!\left(x, y, z\right)$	Carlson symmetric elliptic integral of the first kind
`Pow`	${a}^{b}$	Power
`Gamma`	$\Gamma(z)$	Gamma function
`Sqrt`	$\sqrt{z}$	Principal square root
`Pi`	$\pi$	The constant pi (3.14...)

Source code for this entry:

Entry(ID("6c4567"),
    Formula(Equal(CarlsonRF(0, Div(1, 2), 1), Div(Pow(Gamma(Div(1, 4)), 2), Mul(4, Sqrt(Pi))))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC