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Fungrim entry: 4d7098

RG ⁣(1,1,2)=22+log ⁣(1+2)2R_G\!\left(1, 1, 2\right) = \frac{\sqrt{2}}{2} + \frac{\log\!\left(1 + \sqrt{2}\right)}{2}
TeX:
R_G\!\left(1, 1, 2\right) = \frac{\sqrt{2}}{2} + \frac{\log\!\left(1 + \sqrt{2}\right)}{2}
Definitions:
Fungrim symbol Notation Short description
CarlsonRGRG ⁣(x,y,z)R_G\!\left(x, y, z\right) Carlson symmetric elliptic integral of the second kind
Sqrtz\sqrt{z} Principal square root
Loglog(z)\log(z) Natural logarithm
Source code for this entry:
Entry(ID("4d7098"),
    Formula(Equal(CarlsonRG(1, 1, 2), Add(Div(Sqrt(2), 2), Div(Log(Add(1, Sqrt(2))), 2)))))

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2021-03-15 19:12:00.328586 UTC