DLMF:19.30.E13 (Q6688)

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DLMF:19.30.E13
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    test
    P = 4 ⁢ 2 ⁢ a 2 ⁢ R F ⁡ ( 0 , 1 , 2 ) = 2 ⁢ a 2 × 5.24411 51 ⁢ … = 4 ⁢ a ⁢ K ⁡ ( 1 / 2 ) = a × 7.41629 87 ⁢ … . 𝑃 4 2 superscript 𝑎 2 Carlson-integral-RF 0 1 2 2 superscript 𝑎 2 5.24411 51 … 4 𝑎 complete-elliptic-integral-first-kind-K 1 2 𝑎 7.41629 87 … {\displaystyle{\displaystyle P=4\sqrt{2a^{2}}R_{F}\left(0,1,2\right)=\sqrt{2a^% {2}}\times 5.24411\;51\ldots=4aK\left(1/\sqrt{2}\right)=a\times 7.41629\;87% \dots.}}
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    DLMF id
    DLMF:19.30.E13
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