DLMF:2.7.E28 (Q922): Difference between revisions

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‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1afdec

Revision as of 17:23, 1 January 2020

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DLMF:2.7.E28
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    Statements

    Defining formula
    w 3 ⁢ ( x ) ∼ f - 1 / 4 ⁢ ( x ) ⁢ exp ⁡ ( ∫ f 1 / 2 ⁢ ( x ) ⁢ d x ) , asymptotically-equals subscript 𝑤 3 𝑥 superscript 𝑓 1 4 𝑥 superscript 𝑓 1 2 𝑥 𝑥 {\displaystyle{\displaystyle w_{3}(x)\sim f^{-1/4}(x)\exp\left(\int f^{1/2}(x)% \mathrm{d}x\right),}}
    0 references
    DLMF id
    DLMF:2.7.E28
    0 references
    constraint
    x → a 2 - → 𝑥 limit-from subscript 𝑎 2 {\displaystyle{\displaystyle x\to a_{2}-}}
    0 references
    Symbols used
    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2abdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1afdec
    0 references
     
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