DLMF:10.21.E28 (Q3321): 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.m2afdec

Revision as of 15:43, 2 January 2020

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DLMF:10.21.E28
No description defined

    Statements

    Defining formula
    𝒞 ν ⁡ ( σ ν ⁢ ( t ) ) ∼ ( 2 / ν ) 1 3 π ⁢ N ⁡ ( - 2 1 3 ⁢ α ′ ) ⁢ ∑ k = 0 ∞ β k ′ ν 2 ⁢ k / 3 , asymptotic-expansion cylinder-function 𝜈 subscript 𝜎 𝜈 𝑡 superscript 2 𝜈 1 3 𝜋 modulus-Airy-N superscript 2 1 3 superscript 𝛼 ′ superscript subscript 𝑘 0 subscript superscript 𝛽 ′ 𝑘 superscript 𝜈 2 𝑘 3 {\displaystyle{\displaystyle\mathscr{C}_{\nu}\left(\sigma_{\nu}(t)\right)\sim% \frac{(2/\nu)^{\frac{1}{3}}}{\pi N\left(-2^{\frac{1}{3}}\alpha^{\prime}\right)% }\sum_{k=0}^{\infty}\frac{\beta^{\prime}_{k}}{\nu^{2k/3}},}}
    0 references
    DLMF id
    DLMF:10.21.E28
    0 references
    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11afdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2afdec
    0 references
     
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