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DLMF:19.7#Ex6 - MaRDI portal

DLMF:19.7#Ex6 (Q6883)

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DLMF:19.7#Ex6
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    DLMF defining formula
    K ⁡ ( 1 / k ′ ) = k ′ ⁢ ( K ⁡ ( k ′ ) ± i ⁢ K ⁡ ( k ) ) , complete-elliptic-integral-first-kind-K 1 superscript 𝑘 ′ superscript 𝑘 ′ plus-or-minus complete-elliptic-integral-first-kind-K superscript 𝑘 ′ imaginary-unit complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(1/k^{\prime}\right)=k^{\prime}(K\left(k^{% \prime}\right)\pm\mathrm{i}K\left(k\right)),}}
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