DLMF:22.15.E16 (Q7111)

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DLMF:22.15.E16
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    Defining formula
    arcsd ⁡ ( x , k ) = ∫ 0 x d t ( 1 - k ′ 2 ⁢ t 2 ) ⁢ ( 1 + k 2 ⁢ t 2 ) , inverse-Jacobi-elliptic-sd 𝑥 𝑘 superscript subscript 0 𝑥 𝑡 1 superscript superscript 𝑘 ′ 2 superscript 𝑡 2 1 superscript 𝑘 2 superscript 𝑡 2 {\displaystyle{\displaystyle\operatorname{arcsd}\left(x,k\right)=\int_{0}^{x}% \frac{\mathrm{d}t}{\sqrt{(1-{k^{\prime}}^{2}t^{2})(1+k^{2}t^{2})}},}}
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    DLMF id
    DLMF:22.15.E16
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