DLMF:1.13.E13 (Q479): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10859 / rank
 
Normal rank
Property / Symbols used: Q10859 / qualifier
 
Defining formula:

f ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}

f(z)
Property / Symbols used: Q10859 / qualifier
 
xml-id: C1.S13.XMD2.m1ddec
Property / Symbols used
 
Property / Symbols used: Q10877 / rank
 
Normal rank
Property / Symbols used: Q10877 / qualifier
 
Defining formula:

W ( ξ ) 𝑊 𝜉 {\displaystyle{\displaystyle W(\xi)}}

W(\xi)
Property / Symbols used: Q10877 / qualifier
 
xml-id: C1.S13.XMD21.m1bdec

Latest revision as of 16:19, 1 January 2020

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DLMF:1.13.E13
No description defined

    Statements

    w ( z ) = W ( z ) exp ( - 1 2 f ( z ) d z ) 𝑤 𝑧 𝑊 𝑧 1 2 𝑓 𝑧 𝑧 {\displaystyle{\displaystyle w(z)=W(z)\exp\left(-\tfrac{1}{2}\int f(z)\mathrm{% d}z\right)}}
    0 references
    DLMF:1.13.E13
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1abdec
    0 references
    exp z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    C4.S2.E19.m2adec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3abdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C1.S1.XMD1.m1jdec
    0 references
    w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    C1.S13.XMD1.m1cdec
    0 references
    f ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    C1.S13.XMD2.m1ddec
    0 references
    W ( ξ ) 𝑊 𝜉 {\displaystyle{\displaystyle W(\xi)}}
    C1.S13.XMD21.m1bdec
    0 references