DLMF:10.32.E6 (Q3526): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aedec

Revision as of 12:41, 2 January 2020

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DLMF:10.32.E6
No description defined

    Statements

    test
    K 0 ⁡ ( x ) = ∫ 0 ∞ cos ⁡ ( x ⁢ sinh ⁡ t ) ⁢ d t = ∫ 0 ∞ cos ⁡ ( x ⁢ t ) t 2 + 1 ⁢ d t , modified-Bessel-second-kind 0 𝑥 superscript subscript 0 𝑥 𝑡 𝑡 superscript subscript 0 𝑥 𝑡 superscript 𝑡 2 1 𝑡 {\displaystyle{\displaystyle K_{0}\left(x\right)=\int_{0}^{\infty}\cos\left(x% \sinh t\right)\mathrm{d}t=\int_{0}^{\infty}\frac{\cos\left(xt\right)}{\sqrt{t^% {2}+1}}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:10.32.E6
    0 references
    constraint
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
    0 references
    Symbols used
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aedec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aedec
    0 references
     
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