DLMF:9.11.E6 (Q2913): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
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.m3acdec
Property / Symbols used
 
Property / Symbols used: Q11381 / rank
 
Normal rank
Property / Symbols used: Q11381 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11381 / qualifier
 
xml-id: C9.S1.XMD3.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11405 / rank
 
Normal rank
Property / Symbols used: Q11405 / qualifier
 
Defining formula:

w 𝑤 {\displaystyle{\displaystyle w}}

w
Property / Symbols used: Q11405 / qualifier
 
xml-id: C9.S11.XMD4.m1adec

Latest revision as of 14:49, 2 January 2020

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DLMF:9.11.E6
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    Statements

    w 1 w 2 d z = 1 2 ( w 1 w 2 + z 𝒲 { w 1 , w 2 } ) , subscript 𝑤 1 subscript superscript 𝑤 2 𝑧 1 2 subscript 𝑤 1 subscript 𝑤 2 𝑧 Wronskian subscript 𝑤 1 subscript 𝑤 2 {\displaystyle{\displaystyle\int w_{1}w^{\prime}_{2}\mathrm{d}z=\tfrac{1}{2}% \left(w_{1}w_{2}+z\mathscr{W}\left\{w_{1},w_{2}\right\}\right),}}
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    DLMF:9.11.E6
    0 references
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    C1.S13.Px2.p1.m3aadec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1acdec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3acdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C9.S1.XMD3.m1ddec
    0 references
    w 𝑤 {\displaystyle{\displaystyle w}}
    C9.S11.XMD4.m1adec
    0 references