DLMF:9.11.E6 (Q2913)

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DLMF:9.11.E6
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    Statements

    Defining formula
    ∫ 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),}}
    0 references
    DLMF id
    DLMF:9.11.E6
    0 references
    Symbols used
    Q10865
    Defining formula
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3aadec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3acdec
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