DLMF:9.9.E15 (Q2876): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2amdec

Revision as of 14:42, 2 January 2020

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DLMF:9.9.E15
No description defined

    Statements

    Defining formula
    Bi ′ ⁡ ( β k ) = ( - 1 ) k ⁢ 2 ⁢ e - π ⁢ i / 6 ⁢ V ⁢ ( 3 8 ⁢ π ⁢ ( 4 ⁢ k - 1 ) + 3 4 ⁢ i ⁢ ln ⁡ 2 ) , diffop Airy-Bi 1 complex-zero-Airy-Bi 𝑘 superscript 1 𝑘 2 superscript 𝑒 𝜋 𝑖 6 𝑉 3 8 𝜋 4 𝑘 1 3 4 𝑖 2 {\displaystyle{\displaystyle\mathrm{Bi}'\left(\beta_{k}\right)=(-1)^{k}\sqrt{2% }e^{-\pi i/6}V\left(\tfrac{3}{8}\pi(4k-1)+\tfrac{3}{4}i\ln 2\right),}}
    0 references
    DLMF id
    DLMF:9.9.E15
    0 references
    Symbols used
    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2addec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2amdec
    0 references
     
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