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DLMF:19.7#Ex2 - MaRDI portal

DLMF:19.7#Ex2 (Q6879)

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DLMF:19.7#Ex2
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    Statements

    DLMF defining formula
    K ⁡ ( - i ⁢ k ′ / k ) = k ⁢ K ⁡ ( k ′ ) , complete-elliptic-integral-first-kind-K 𝑖 superscript 𝑘 ′ 𝑘 𝑘 complete-elliptic-integral-first-kind-K superscript 𝑘 ′ {\displaystyle{\displaystyle K\left(-ik^{\prime}/k\right)=kK\left(k^{\prime}% \right),}}
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