DLMF:23.6#Ex5 (Q7259)

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DLMF:23.6#Ex5
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    Defining formula
    K 2 ⁡ = ( K ⁡ ( k ) ) 2 = ω 1 2 ⁢ ( e 1 ⁡ - e 3 ⁡ ) , complete-elliptic-integral-first-kind-K 2 𝑘 superscript complete-elliptic-integral-first-kind-K 𝑘 2 superscript subscript 𝜔 1 2 Weierstrass-e-on-lattice 1 𝕃 Weierstrass-e-on-lattice 3 𝕃 {\displaystyle{\displaystyle{K^{2}}=(K\left(k\right))^{2}=\omega_{1}^{2}(e_{1}% -e_{3}),}}
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    DLMF:23.6#Ex5
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