DLMF:1.13.E23 (Q489)

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DLMF:1.13.E23
No description defined

    Statements

    Defining formula
    d 3 w d z 3 + 3 ⁢ f ⁢ d 2 w d z 2 + ( 2 ⁢ f 2 + f ′ + 4 ⁢ g ) ⁢ d w d z + ( 4 ⁢ f ⁢ g + 2 ⁢ g ′ ) ⁢ w = 0 . derivative 𝑤 𝑧 3 3 𝑓 derivative 𝑤 𝑧 2 2 superscript 𝑓 2 superscript 𝑓 ′ 4 𝑔 derivative 𝑤 𝑧 4 𝑓 𝑔 2 superscript 𝑔 ′ 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{3}w}{{\mathrm{d}z}^{3}}+3f% \frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+(2f^{2}+f^{\prime}+4g)\frac{% \mathrm{d}w}{\mathrm{d}z}+(4fg+2g^{\prime})w=0.}}
    0 references
    DLMF id
    DLMF:1.13.E23
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2ajdec
    0 references
    Q10760
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1tdec
    0 references
    Q10859
    Defining formula
    f ⁢ ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    xml-id
    C1.S13.XMD2.m1hdec
    0 references
    Q10882
    Defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C1.S13.XMD28.m1dec
    0 references
    Q10860
    Defining formula
    g ⁢ ( z ) 𝑔 𝑧 {\displaystyle{\displaystyle g(z)}}
    xml-id
    C1.S13.XMD3.m1edec
    0 references
     
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