DLMF:2.7.E22 (Q916): Difference between revisions

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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.m1aadec
Property / Symbols used
 
Property / Symbols used: exponential function / rank
 
Normal rank
Property / Symbols used: exponential function / qualifier
 
Defining formula:

exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

\exp@@{\NVar{z}}
Property / Symbols used: exponential function / qualifier
 
xml-id: C4.S2.E19.m2aadec
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.m3aadec
Property / Symbols used
 
Property / Symbols used: Q11059 / rank
 
Normal rank
Property / Symbols used: Q11059 / qualifier
 
Defining formula:

ϵ j ⁢ ( x ) subscript italic-ϵ 𝑗 𝑥 {\displaystyle{\displaystyle\epsilon_{j}(x)}}

\epsilon_{j}(x)
Property / Symbols used: Q11059 / qualifier
 
xml-id: C2.S7.XMD22.m1adec
Property / Symbols used
 
Property / Symbols used: Q11050 / rank
 
Normal rank
Property / Symbols used: Q11050 / qualifier
 
Defining formula:

w j ⁢ ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}}

w_{j}(z)
Property / Symbols used: Q11050 / qualifier
 
xml-id: C2.S7.XMD8.m1edec

Latest revision as of 17:22, 1 January 2020

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DLMF:2.7.E22
No description defined

    Statements

    Defining formula
    w 2 ⁢ ( x ) = f - 1 / 4 ⁢ ( x ) ⁢ exp ⁡ ( - ∫ f 1 / 2 ⁢ ( x ) ⁢ d x ) ⁢ ( 1 + ϵ 2 ⁢ ( x ) ) , subscript 𝑤 2 𝑥 superscript 𝑓 1 4 𝑥 superscript 𝑓 1 2 𝑥 𝑥 1 subscript italic-ϵ 2 𝑥 {\displaystyle{\displaystyle w_{2}(x)=f^{-1/4}(x)\exp\left(-\int f^{1/2}(x)% \mathrm{d}x\right)\*\left(1+\epsilon_{2}(x)\right),}}
    0 references
    DLMF id
    DLMF:2.7.E22
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2aadec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
    Q11059
    Defining formula
    ϵ j ⁢ ( x ) subscript italic-ϵ 𝑗 𝑥 {\displaystyle{\displaystyle\epsilon_{j}(x)}}
    xml-id
    C2.S7.XMD22.m1adec
    0 references
    Q11050
    Defining formula
    w j ⁢ ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}}
    xml-id
    C2.S7.XMD8.m1edec
    0 references
     
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