DLMF:1.13.E7 (Q440)

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DLMF:1.13.E7
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    Statements

    DLMF defining formula
    d 2 w d z 2 + f ⁢ ( u , z ) ⁢ d w d z + g ⁢ ( u , z ) ⁢ w = 0 , derivative 𝑤 𝑧 2 𝑓 𝑢 𝑧 derivative 𝑤 𝑧 𝑔 𝑢 𝑧 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+f(u,z)% \frac{\mathrm{d}w}{\mathrm{d}z}+g(u,z)w=0,}}
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    DLMF 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.m2aadec
    0 references
    variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1fdec
    0 references
    analytic function of both variables
    DLMF defining formula
    f ⁢ ( u , z ) 𝑓 𝑢 𝑧 {\displaystyle{\displaystyle f(u,z)}}
    xml-id
    C1.S13.XMD10.m1dec
    0 references
    analytic function of both variables
    DLMF defining formula
    g ⁢ ( u , z ) 𝑔 𝑢 𝑧 {\displaystyle{\displaystyle g(u,z)}}
    xml-id
    C1.S13.XMD11.m1dec
    0 references
    solution
    DLMF defining formula
    w ⁢ ( u , z ) 𝑤 𝑢 𝑧 {\displaystyle{\displaystyle w(u,z)}}
    xml-id
    C1.S13.XMD9.m1dec
    0 references

    Identifiers

     
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