DLMF:22.15.E21 (Q7116): Difference between revisions

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Property / constraint
 

1 x < 1 𝑥 {\displaystyle{\displaystyle 1\leq x<\infty}}

1\leq x<\infty
Property / constraint: 1 x < 1 𝑥 {\displaystyle{\displaystyle 1\leq x<\infty}} / rank
 
Normal rank

Revision as of 18:11, 30 December 2019

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DLMF:22.15.E21
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    Statements

    arcns ( x , k ) = x d t ( t 2 - 1 ) ( t 2 - k 2 ) , inverse-Jacobi-elliptic-ns 𝑥 𝑘 superscript subscript 𝑥 𝑡 superscript 𝑡 2 1 superscript 𝑡 2 superscript 𝑘 2 {\displaystyle{\displaystyle\operatorname{arcns}\left(x,k\right)=\int_{x}^{% \infty}\frac{\mathrm{d}t}{\sqrt{(t^{2}-1)(t^{2}-k^{2})}},}}
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    DLMF:22.15.E21
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    1 x < 1 𝑥 {\displaystyle{\displaystyle 1\leq x<\infty}}
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