Fungrim home page

Fungrim entry: 6c4567

RF ⁣(0,12,1)=(Γ ⁣(14))24πR_F\!\left(0, \frac{1}{2}, 1\right) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{\pi}}
R_F\!\left(0, \frac{1}{2}, 1\right) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{\pi}}
Fungrim symbol Notation Short description
CarlsonRFRF ⁣(x,y,z)R_F\!\left(x, y, z\right) Carlson symmetric elliptic integral of the first kind
Powab{a}^{b} Power
GammaΓ(z)\Gamma(z) Gamma function
Sqrtz\sqrt{z} Principal square root
Piπ\pi The constant pi (3.14...)
Source code for this entry:
    Formula(Equal(CarlsonRF(0, Div(1, 2), 1), Div(Pow(Gamma(Div(1, 4)), 2), Mul(4, Sqrt(Pi))))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC