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DLMF:22.16#Ex1 - MaRDI portal

DLMF:22.16#Ex1 (Q7827)

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DLMF:22.16#Ex1
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    DLMF defining formula
    ℰ ⁡ ( x , k ) = ∫ 0 x 1 - k 2 ⁢ t 2 1 - t 2 ⁢ d t Jacobi-Epsilon 𝑥 𝑘 superscript subscript 0 𝑥 1 superscript 𝑘 2 superscript 𝑡 2 1 superscript 𝑡 2 𝑡 {\displaystyle{\displaystyle\mathcal{E}\left(x,k\right)=\int_{0}^{x}\sqrt{% \frac{1-k^{2}t^{2}}{1-t^{2}}}\mathrm{d}t}}
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