DLMF:10.43.E18 (Q3632): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3amdec

Revision as of 14:01, 2 January 2020

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DLMF:10.43.E18
No description defined

    Statements

    Defining formula
    ∫ 0 ∞ K ν ⁡ ( t ) ⁢ d t = 1 2 ⁢ π ⁢ sec ⁡ ( 1 2 ⁢ π ⁢ ν ) , superscript subscript 0 modified-Bessel-second-kind 𝜈 𝑡 𝑡 1 2 𝜋 1 2 𝜋 𝜈 {\displaystyle{\displaystyle\int_{0}^{\infty}K_{\nu}\left(t\right)\mathrm{d}t=% \tfrac{1}{2}\pi\sec\left(\tfrac{1}{2}\pi\nu\right),}}
    0 references
    DLMF id
    DLMF:10.43.E18
    0 references
    constraint
    | ℜ ⁡ ν | < 1 𝜈 1 {\displaystyle{\displaystyle|\Re\nu|<1}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1amdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3amdec
    0 references
     
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