DLMF:31.15.E1 (Q9119)

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DLMF:31.15.E1
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    Statements

    Defining formula
    d 2 w d z 2 + ( ∑ j = 1 N γ j z - a j ) ⁢ d w d z + Φ ⁢ ( z ) ∏ j = 1 N ( z - a j ) ⁢ w = 0 , derivative 𝑤 𝑧 2 superscript subscript 𝑗 1 𝑁 subscript 𝛾 𝑗 𝑧 subscript 𝑎 𝑗 derivative 𝑤 𝑧 Φ 𝑧 superscript subscript product 𝑗 1 𝑁 𝑧 subscript 𝑎 𝑗 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left(% \sum_{j=1}^{N}\frac{\gamma_{j}}{z-a_{j}}\right)\frac{\mathrm{d}w}{\mathrm{d}z}% +\frac{\Phi(z)}{\prod_{j=1}^{N}(z-a_{j})}w=0,}}
    0 references
    DLMF id
    DLMF:31.15.E1
    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.m2adec
    0 references
    Q12457
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C31.S1.XMD1.m1dec
    0 references
    Q12458
    Defining formula
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C31.S1.XMD10.m1dec
    0 references
    Q12477
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C31.S1.XMD2.m1dec
    0 references
    Q12461
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C31.S1.XMD6.m1dec
    0 references
    Q12512
    Defining formula
    N + 1 𝑁 1 {\displaystyle{\displaystyle N+1}}
    xml-id
    C31.S14.XMD1.m1dec
    0 references
     
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