DLMF:19.12.E7 (Q6305): Difference between revisions

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DLMF:19.12.E7
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    Defining formula
    R C ⁡ ( x , y ) = 1 2 ⁢ x ⁢ ( ( 1 + y 2 ⁢ x ) ⁢ ln ⁡ ( 4 ⁢ x y ) - y 2 ⁢ x ) ⁢ ( 1 + O ⁡ ( y 2 / x 2 ) ) , Carlson-integral-RC 𝑥 𝑦 1 2 𝑥 1 𝑦 2 𝑥 4 𝑥 𝑦 𝑦 2 𝑥 1 Big-O superscript 𝑦 2 superscript 𝑥 2 {\displaystyle{\displaystyle R_{C}\left(x,y\right)=\frac{1}{2\sqrt{x}}\left(% \left(1+\frac{y}{2x}\right)\ln\left(\frac{4x}{y}\right)-\frac{y}{2x}\right)\*(% 1+O\left(y^{2}/x^{2}\right)),}}
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    DLMF id
    DLMF:19.12.E7
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