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

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Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3ajdec

Revision as of 14:30, 2 January 2020

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DLMF:22.15.E21
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    Statements

    test
    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})}},}}
    0 references
    DLMF id
    DLMF:22.15.E21
    0 references
    constraint
    1 ≤ x < ∞ 1 𝑥 {\displaystyle{\displaystyle 1\leq x<\infty}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ajdec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ajdec
    0 references
     
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