Fungrim home page

Fungrim entry: 7f8a58

RJ ⁣(0,1,2,2)=3(Γ ⁣(14))216πR_J\!\left(0, 1, 2, \sqrt{2}\right) = \frac{3 {\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{16 \sqrt{\pi}}
TeX:
R_J\!\left(0, 1, 2, \sqrt{2}\right) = \frac{3 {\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{16 \sqrt{\pi}}
Definitions:
Fungrim symbol Notation Short description
CarlsonRJRJ ⁣(x,y,z,w)R_J\!\left(x, y, z, w\right) Carlson symmetric elliptic integral of the third kind
Sqrtz\sqrt{z} Principal square root
Powab{a}^{b} Power
GammaΓ(z)\Gamma(z) Gamma function
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("7f8a58"),
    Formula(Equal(CarlsonRJ(0, 1, 2, Sqrt(2)), Div(Mul(3, Pow(Gamma(Div(1, 4)), 2)), Mul(16, 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