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Fungrim entry: 61f98d

RC ⁣(x,y)=RF ⁣(x,y,y)R_C\!\left(x, y\right) = R_F\!\left(x, y, y\right)
Assumptions:x∈C  and⁡  y∈Cx \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \in \mathbb{C}
TeX:
R_C\!\left(x, y\right) = R_F\!\left(x, y, y\right)

x \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \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
CarlsonRFRF ⁣(x,y,z)R_F\!\left(x, y, z\right) Carlson symmetric elliptic integral of the first kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("61f98d"),
    Formula(Equal(CarlsonRC(x, y), CarlsonRF(x, y, y))),
    Variables(x, y),
    Assumptions(And(Element(x, CC), Element(y, CC))))

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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