DLMF:22.15.E23 (Q7118): Difference between revisions

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Property / constraint
 

- < x < 𝑥 {\displaystyle{\displaystyle-\infty<x<\infty}}

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

Revision as of 17:11, 30 December 2019

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DLMF:22.15.E23
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    Statements

    arccs ( x , k ) = x d t ( 1 + t 2 ) ( t 2 + k 2 ) , inverse-Jacobi-elliptic-cs 𝑥 𝑘 superscript subscript 𝑥 𝑡 1 superscript 𝑡 2 superscript 𝑡 2 superscript superscript 𝑘 2 {\displaystyle{\displaystyle\operatorname{arccs}\left(x,k\right)=\int_{x}^{% \infty}\frac{\mathrm{d}t}{\sqrt{(1+t^{2})(t^{2}+{k^{\prime}}^{2})}},}}
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    - < x < 𝑥 {\displaystyle{\displaystyle-\infty<x<\infty}}
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