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Fungrim entry: b136bd

RC ⁣(2x,x)=log⁡ ⁣(1+2)xR_C\!\left(2 x, x\right) = \frac{\log\!\left(1 + \sqrt{2}\right)}{\sqrt{x}}
Assumptions:x∈Cx \in \mathbb{C}
TeX:
R_C\!\left(2 x, x\right) = \frac{\log\!\left(1 + \sqrt{2}\right)}{\sqrt{x}}

x \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
CarlsonRCRC ⁣(x,y)R_C\!\left(x, y\right) Degenerate Carlson symmetric elliptic integral of the first kind
Loglog⁡(z)\log(z) Natural logarithm
Sqrtz\sqrt{z} Principal square root
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("b136bd"),
    Formula(Equal(CarlsonRC(Mul(2, x), x), Div(Log(Add(1, Sqrt(2))), Sqrt(x)))),
    Variables(x),
    Assumptions(Element(x, CC)))

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2021-03-15 19:12:00.328586 UTC