DLMF:2.8.E24 (Q959)

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DLMF:2.8.E24
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    Statements

    Defining formula
    d 2 W d ξ 2 = ( u 2 4 ⁢ ξ + ν 2 - 1 4 ⁢ ξ 2 + ψ ⁢ ( ξ ) ξ ) ⁢ W . derivative 𝑊 𝜉 2 superscript 𝑢 2 4 𝜉 superscript 𝜈 2 1 4 superscript 𝜉 2 𝜓 𝜉 𝜉 𝑊 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}W}{{\mathrm{d}\xi}^{2}}=% \left(\frac{u^{2}}{4\xi}+\frac{\nu^{2}-1}{4\xi^{2}}+\frac{\psi(\xi)}{\xi}% \right)W.}}
    0 references
    DLMF id
    DLMF:2.8.E24
    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.m2agdec
    0 references
    Q11085
    Defining formula
    W n , j ⁢ ( u , ξ ) subscript 𝑊 𝑛 𝑗 𝑢 𝜉 {\displaystyle{\displaystyle W_{n,j}(u,\xi)}}
    xml-id
    C2.S8.XMD20.m1dec
    0 references
    Q11086
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C2.S8.XMD21.m1dec
    0 references
    Q11069
    Defining formula
    u 𝑢 {\displaystyle{\displaystyle u}}
    xml-id
    C2.S8.XMD4.m1ldec
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    Q11071
    Defining formula
    ψ ⁢ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}}
    xml-id
    C2.S8.XMD7.m1hdec
    0 references
     
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