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DLMF:19.25#Ex3 - MaRDI portal

DLMF:19.25#Ex3 (Q7199)

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DLMF:19.25#Ex3
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    DLMF defining formula
    E ⁡ ( k ) = 1 3 ⁢ k ′ 2 ⁢ ( R D ⁡ ( 0 , k ′ 2 , 1 ) + R D ⁡ ( 0 , 1 , k ′ 2 ) ) , complete-elliptic-integral-second-kind-E 𝑘 1 3 superscript superscript 𝑘 ′ 2 Carlson-integral-RD 0 superscript superscript 𝑘 ′ 2 1 Carlson-integral-RD 0 1 superscript superscript 𝑘 ′ 2 {\displaystyle{\displaystyle E\left(k\right)=\tfrac{1}{3}{k^{\prime}}^{2}\left% (R_{D}\left(0,{k^{\prime}}^{2},1\right)+R_{D}\left(0,1,{k^{\prime}}^{2}\right)% \right),}}
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