DLMF:19.2.E20 (Q6116)

From testwiki
Revision as of 16:39, 29 December 2019 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:19.2.E20
No description defined

    Statements

    test
    R C ⁡ ( x , y ) = x x - y ⁢ R C ⁡ ( x - y , - y ) = 1 x - y ⁢ arctanh ⁡ x x - y = 1 x - y ⁢ ln ⁡ x + x - y - y , Carlson-integral-RC 𝑥 𝑦 𝑥 𝑥 𝑦 Carlson-integral-RC 𝑥 𝑦 𝑦 1 𝑥 𝑦 hyperbolic-inverse-tangent 𝑥 𝑥 𝑦 1 𝑥 𝑦 𝑥 𝑥 𝑦 𝑦 {\displaystyle{\displaystyle R_{C}\left(x,y\right)=\sqrt{\frac{x}{x-y}}R_{C}% \left(x-y,-y\right)=\frac{1}{\sqrt{x-y}}\operatorname{arctanh}\sqrt{\frac{x}{x% -y}}=\frac{1}{\sqrt{x-y}}\ln\frac{\sqrt{x}+\sqrt{x-y}}{\sqrt{-y}},}}
    0 references
    DLMF id
    DLMF:19.2.E20
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q6116&oldid=35214"