DLMF:19.8#Ex9 (Q6222)

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DLMF:19.8#Ex9
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    Defining formula
    E ⁡ ( k ) = ( 1 + k ′ ) ⁢ E ⁡ ( k 1 ) - k ′ ⁢ K ⁡ ( k ) . complete-elliptic-integral-second-kind-E 𝑘 1 superscript 𝑘 ′ complete-elliptic-integral-second-kind-E subscript 𝑘 1 superscript 𝑘 ′ complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle E\left(k\right)=(1+k^{\prime})E\left(k_{1}\right)% -k^{\prime}K\left(k\right).}}
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    DLMF id
    DLMF:19.8#Ex9
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