DLMF:19.25#Ex2 (Q6502)

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DLMF:19.25#Ex2
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    E ( k ) = 2 R G ( 0 , k 2 , 1 ) , complete-elliptic-integral-second-kind-E 𝑘 2 Carlson-integral-RG 0 superscript superscript 𝑘 2 1 {\displaystyle{\displaystyle E\left(k\right)=2R_{G}\left(0,{k^{\prime}}^{2},1% \right),}}
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