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Fungrim entry: a839d5

RC ⁣(λx,λy)=λ1/2RC ⁣(x,y)R_C\!\left(\lambda x, \lambda y\right) = {\lambda}^{-1 / 2} R_C\!\left(x, y\right)
Assumptions:xC  and  yC  and  λ(0,)x \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \lambda \in \left(0, \infty\right)
R_C\!\left(\lambda x, \lambda y\right) = {\lambda}^{-1 / 2} R_C\!\left(x, y\right)

x \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \lambda \in \left(0, \infty\right)
Fungrim symbol Notation Short description
CarlsonRCRC ⁣(x,y)R_C\!\left(x, y\right) Degenerate Carlson symmetric elliptic integral of the first kind
Powab{a}^{b} Power
CCC\mathbb{C} Complex numbers
OpenInterval(a,b)\left(a, b\right) Open interval
Infinity\infty Positive infinity
Source code for this entry:
    Formula(Equal(CarlsonRC(Mul(lamda, x), Mul(lamda, y)), Mul(Pow(lamda, Neg(Div(1, 2))), CarlsonRC(x, y)))),
    Variables(x, y, lamda),
    Assumptions(And(Element(x, CC), Element(y, CC), Element(lamda, OpenInterval(0, Infinity)))))

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2021-03-15 19:12:00.328586 UTC