DLMF:22.15.E14 (Q7109): Difference between revisions

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Property / constraint
 

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

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

Revision as of 18:10, 30 December 2019

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DLMF:22.15.E14
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    arcdn ( x , k ) = x 1 d t ( 1 - t 2 ) ( t 2 - k 2 ) , inverse-Jacobi-elliptic-dn 𝑥 𝑘 superscript subscript 𝑥 1 𝑡 1 superscript 𝑡 2 superscript 𝑡 2 superscript superscript 𝑘 2 {\displaystyle{\displaystyle\operatorname{arcdn}\left(x,k\right)=\int_{x}^{1}% \frac{\mathrm{d}t}{\sqrt{(1-t^{2})(t^{2}-{k^{\prime}}^{2})}},}}
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    DLMF:22.15.E14
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    k x 1 superscript 𝑘 𝑥 1 {\displaystyle{\displaystyle k^{\prime}\leq x\leq 1}}
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