DLMF:19.30.E3 (Q6676)

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DLMF:19.30.E3
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    s / a = E ( ϕ , k ) = R F ( c - 1 , c - k 2 , c ) - 1 3 k 2 R D ( c - 1 , c - k 2 , c ) , 𝑠 𝑎 elliptic-integral-second-kind-E italic-ϕ 𝑘 Carlson-integral-RF 𝑐 1 𝑐 superscript 𝑘 2 𝑐 1 3 superscript 𝑘 2 Carlson-integral-RD 𝑐 1 𝑐 superscript 𝑘 2 𝑐 {\displaystyle{\displaystyle s/a=E\left(\phi,k\right)={R_{F}\left(c-1,c-k^{2},% c\right)-\tfrac{1}{3}k^{2}R_{D}\left(c-1,c-k^{2},c\right)},}}
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