DLMF:22.16.E32 (Q7152)

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DLMF:22.16.E32
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    Statements

    Defining formula
    Z ⁡ ( x | k ) = ℰ ⁡ ( x , k ) - ( E ⁡ ( k ) / K ⁡ ( k ) ) ⁢ x . Jacobi-Zeta 𝑥 𝑘 Jacobi-Epsilon 𝑥 𝑘 complete-elliptic-integral-second-kind-E 𝑘 complete-elliptic-integral-first-kind-K 𝑘 𝑥 {\displaystyle{\displaystyle\mathrm{Z}\left(x|k\right)=\mathcal{E}\left(x,k% \right)-(E\left(k\right)/K\left(k\right))x.}}
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    DLMF id
    DLMF:22.16.E32
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