DLMF:9.11.E11 (Q2918)

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DLMF:9.11.E11
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    Statements

    Defining formula
    ∫ 1 w 1 2 ⁢ f ′ ⁢ ( w 2 w 1 ) ⁢ d z = 1 𝒲 ⁡ { w 1 , w 2 } ⁢ f ⁢ ( w 2 w 1 ) . 1 superscript subscript 𝑤 1 2 superscript 𝑓 ′ subscript 𝑤 2 subscript 𝑤 1 𝑧 1 Wronskian subscript 𝑤 1 subscript 𝑤 2 𝑓 subscript 𝑤 2 subscript 𝑤 1 {\displaystyle{\displaystyle\int\frac{1}{w_{1}^{2}}f^{\prime}\!\left(\frac{w_{% 2}}{w_{1}}\right)\mathrm{d}z=\frac{1}{\mathscr{W}\left\{w_{1},w_{2}\right\}}f% \left(\frac{w_{2}}{w_{1}}\right).}}
    0 references
    DLMF id
    DLMF:9.11.E11
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    Symbols used
    Q10865
    Defining formula
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3acdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ahdec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1idec
    0 references
     
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