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DLMF:29.18.E5 - MaRDI portal

DLMF:29.18.E5 (Q9498)

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DLMF:29.18.E5
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    Statements

    DLMF defining formula
    d d r ⁡ ( r 2 ⁢ d u 1 d r ) + ( ω 2 ⁢ r 2 - ν ⁢ ( ν + 1 ) ) ⁢ u 1 = 0 , derivative 𝑟 superscript 𝑟 2 derivative subscript 𝑢 1 𝑟 superscript 𝜔 2 superscript 𝑟 2 𝜈 𝜈 1 subscript 𝑢 1 0 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}r}\left(r^{2}\frac{% \mathrm{d}u_{1}}{\mathrm{d}r}\right)+(\omega^{2}r^{2}-\nu(\nu+1))u_{1}=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.m2adec
    0 references
    real parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1dec
    0 references
    parameter
    DLMF defining formula
    ω 𝜔 {\displaystyle{\displaystyle\omega}}
    xml-id
    C29.S18.XMD2.m1adec
    0 references
    sphero-conal coordinate
    DLMF defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C29.S18.XMD3.m1cdec
    0 references
    solutions
    DLMF defining formula
    u j subscript 𝑢 𝑗 {\displaystyle{\displaystyle u_{j}}}
    xml-id
    C29.S18.XMD6.m1adec
    0 references

    Identifiers

     
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