DLMF:2.7.E26 (Q920): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11060 / rank
 
Normal rank
Property / Symbols used: Q11060 / qualifier
 
Defining formula:

( a 1 , a 2 ) subscript 𝑎 1 subscript 𝑎 2 {\displaystyle{\displaystyle(a_{1},a_{2})}}

(a_{1},a_{2})
Property / Symbols used: Q11060 / qualifier
 
xml-id: C2.S7.XMD19.m1bdec

Revision as of 17:23, 1 January 2020

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DLMF:2.7.E26
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    Statements

    Defining formula
    w 1 ⁢ ( x ) ∼ f - 1 / 4 ⁢ ( x ) ⁢ exp ⁡ ( ∫ f 1 / 2 ⁢ ( x ) ⁢ d x ) , asymptotically-equals subscript 𝑤 1 𝑥 superscript 𝑓 1 4 𝑥 superscript 𝑓 1 2 𝑥 𝑥 {\displaystyle{\displaystyle w_{1}(x)\sim f^{-1/4}(x)\exp\left(\int f^{1/2}(x)% \mathrm{d}x\right),}}
    0 references
    DLMF id
    DLMF:2.7.E26
    0 references
    constraint
    x → a 1 + → 𝑥 limit-from subscript 𝑎 1 {\displaystyle{\displaystyle x\to a_{1}+}}
    0 references
    Symbols used
    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1addec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2acdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3addec
    0 references
    Q11060
    Defining formula
    ( a 1 , a 2 ) subscript 𝑎 1 subscript 𝑎 2 {\displaystyle{\displaystyle(a_{1},a_{2})}}
    xml-id
    C2.S7.XMD19.m1bdec
    0 references
     
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