Assumptions:
TeX:
R_J\!\left(x, y, z, w\right) = R_J\!\left(x, z, y, w\right) = R_J\!\left(y, x, z, w\right) = R_J\!\left(y, z, x, w\right) = R_J\!\left(z, x, y, w\right) = R_J\!\left(z, y, x, w\right)
x \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \in \mathbb{C} \;\mathbin{\operatorname{and}}\; z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; w \in \mathbb{C}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| CarlsonRJ | Carlson symmetric elliptic integral of the third kind | |
| CC | Complex numbers |
Source code for this entry:
Entry(ID("655a2b"),
Formula(Equal(CarlsonRJ(x, y, z, w), CarlsonRJ(x, z, y, w), CarlsonRJ(y, x, z, w), CarlsonRJ(y, z, x, w), CarlsonRJ(z, x, y, w), CarlsonRJ(z, y, x, w))),
Variables(x, y, z, w),
Assumptions(And(Element(x, CC), Element(y, CC), Element(z, CC), Element(w, CC))))