DLMF:22.14.E18 (Q7093): Difference between revisions

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DLMF:22.14.E18
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    Defining formula
    ∫ 0 K ⁡ ( k ) ln ⁡ ( dn ⁡ ( t , k ) ) ⁢ d t = 1 2 ⁢ K ⁡ ( k ) ⁢ ln ⁡ k ′ . superscript subscript 0 complete-elliptic-integral-first-kind-K 𝑘 Jacobi-elliptic-dn 𝑡 𝑘 𝑡 1 2 complete-elliptic-integral-first-kind-K 𝑘 superscript 𝑘 ′ {\displaystyle{\displaystyle\int_{0}^{K\left(k\right)}\ln\left(\operatorname{% dn}\left(t,k\right)\right)\mathrm{d}t=\tfrac{1}{2}K\left(k\right)\ln k^{\prime% }.}}
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    DLMF id
    DLMF:22.14.E18
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