DLMF:19.2.E18 (Q6114)

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DLMF:19.2.E18
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    R C ( x , y ) = 1 y - x arctan y - x x = 1 y - x arccos x / y , Carlson-integral-RC 𝑥 𝑦 1 𝑦 𝑥 𝑦 𝑥 𝑥 1 𝑦 𝑥 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(x,y\right)=\frac{1}{\sqrt{y-x}}% \operatorname{arctan}\sqrt{\frac{y-x}{x}}=\frac{1}{\sqrt{y-x}}\operatorname{% arccos}\sqrt{x/y},}}
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