DLMF:22.15.E17 (Q7112): Difference between revisions

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Property / constraint
 

1 x 1 / k 1 𝑥 1 superscript 𝑘 {\displaystyle{\displaystyle 1\leq x\leq 1/k^{\prime}}}

1\leq x\leq 1/k^{\prime}
Property / constraint: 1 x 1 / k 1 𝑥 1 superscript 𝑘 {\displaystyle{\displaystyle 1\leq x\leq 1/k^{\prime}}} / rank
 
Normal rank

Revision as of 18:10, 30 December 2019

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DLMF:22.15.E17
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    arcnd ( x , k ) = 1 x d t ( t 2 - 1 ) ( 1 - k 2 t 2 ) , inverse-Jacobi-elliptic-nd 𝑥 𝑘 superscript subscript 1 𝑥 𝑡 superscript 𝑡 2 1 1 superscript superscript 𝑘 2 superscript 𝑡 2 {\displaystyle{\displaystyle\operatorname{arcnd}\left(x,k\right)=\int_{1}^{x}% \frac{\mathrm{d}t}{\sqrt{(t^{2}-1)(1-{k^{\prime}}^{2}t^{2})}},}}
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    DLMF:22.15.E17
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    1 x 1 / k 1 𝑥 1 superscript 𝑘 {\displaystyle{\displaystyle 1\leq x\leq 1/k^{\prime}}}
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