DLMF:29.2.E10 (Q9276)

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DLMF:29.2.E10
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    Statements

    DLMF defining formula
    d 2 w d ζ 2 + 1 2 ⁢ ( 1 ζ - e 1 + 1 ζ - e 2 + 1 ζ - e 3 ) ⁢ d w d ζ + g - ν ⁢ ( ν + 1 ) ⁢ ζ 4 ⁢ ( ζ - e 1 ) ⁢ ( ζ - e 2 ) ⁢ ( ζ - e 3 ) ⁢ w = 0 , derivative 𝑤 𝜁 2 1 2 1 𝜁 subscript 𝑒 1 1 𝜁 subscript 𝑒 2 1 𝜁 subscript 𝑒 3 derivative 𝑤 𝜁 𝑔 𝜈 𝜈 1 𝜁 4 𝜁 subscript 𝑒 1 𝜁 subscript 𝑒 2 𝜁 subscript 𝑒 3 𝑤 0 {\displaystyle{\displaystyle{\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}\zeta}^{2}}+% \frac{1}{2}\left(\frac{1}{\zeta-e_{1}}+\frac{1}{\zeta-e_{2}}+\frac{1}{\zeta-e_% {3}}\right)\frac{\mathrm{d}w}{\mathrm{d}\zeta}}+\frac{g-\nu(\nu+1)\zeta}{4(% \zeta-e_{1})(\zeta-e_{2})(\zeta-e_{3})}w=0,}}
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    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.m2addec
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    real parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1edec
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    constants
    DLMF defining formula
    e j subscript 𝑒 𝑗 {\displaystyle{\displaystyle e_{j}}}
    xml-id
    C29.S2.XMD4.m1cdec
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    29.2.E7
    DLMF defining formula
    g 𝑔 {\displaystyle{\displaystyle g}}
    xml-id
    C29.S2.XMD5.m1bdec
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    29.2.E11
    DLMF defining formula
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C29.S2.XMD7.m1dec
    0 references

    Identifiers

     
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