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Fungrim entry: a4e47f

RJ ⁣(x,y,z,w)(xyzw2)3/10R_J\!\left(x, y, z, w\right) \le {\left(x y z {w}^{2}\right)}^{-3 / 10}
Assumptions:x(0,)  and  y(0,)  and  z(0,)  and  w(0,)x \in \left(0, \infty\right) \;\mathbin{\operatorname{and}}\; y \in \left(0, \infty\right) \;\mathbin{\operatorname{and}}\; z \in \left(0, \infty\right) \;\mathbin{\operatorname{and}}\; w \in \left(0, \infty\right)
R_J\!\left(x, y, z, w\right) \le {\left(x y z {w}^{2}\right)}^{-3 / 10}

x \in \left(0, \infty\right) \;\mathbin{\operatorname{and}}\; y \in \left(0, \infty\right) \;\mathbin{\operatorname{and}}\; z \in \left(0, \infty\right) \;\mathbin{\operatorname{and}}\; w \in \left(0, \infty\right)
Fungrim symbol Notation Short description
CarlsonRJRJ ⁣(x,y,z,w)R_J\!\left(x, y, z, w\right) Carlson symmetric elliptic integral of the third kind
Powab{a}^{b} Power
OpenInterval(a,b)\left(a, b\right) Open interval
Infinity\infty Positive infinity
Source code for this entry:
    Formula(LessEqual(CarlsonRJ(x, y, z, w), Pow(Mul(Mul(Mul(x, y), z), Pow(w, 2)), Neg(Div(3, 10))))),
    Variables(x, y, z, w),
    Assumptions(And(Element(x, OpenInterval(0, Infinity)), Element(y, OpenInterval(0, Infinity)), Element(z, OpenInterval(0, Infinity)), Element(w, OpenInterval(0, Infinity)))))

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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