DLMF:1.13.E25 (Q492)

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DLMF:1.13.E25
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    Statements

    Defining formula
    d d z ⁡ ( W ′′′ + 2 ⁢ ( I + J ) ⁢ W ′ + ( I ′ + J ′ ) ⁢ W I - J ) = - ( I - J ) ⁢ W . derivative 𝑧 superscript 𝑊 ′′′ 2 𝐼 𝐽 superscript 𝑊 ′ superscript 𝐼 ′ superscript 𝐽 ′ 𝑊 𝐼 𝐽 𝐼 𝐽 𝑊 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\left(\frac{W^{% \prime\prime\prime}+2(I+J)W^{\prime}+(I^{\prime}+J^{\prime})W}{I-J}\right)=-(I% -J)W.}}
    0 references
    DLMF id
    DLMF:1.13.E25
    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.m2aldec
    0 references
    Q10760
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1vdec
    0 references
    Q10883
    Defining formula
    I 𝐼 {\displaystyle{\displaystyle I}}
    xml-id
    C1.S13.XMD31.m1adec
    0 references
    Q10884
    Defining formula
    J 𝐽 {\displaystyle{\displaystyle J}}
    xml-id
    C1.S13.XMD32.m1adec
    0 references
    Q10885
    Defining formula
    W ⁢ ( z ) 𝑊 𝑧 {\displaystyle{\displaystyle W(z)}}
    xml-id
    C1.S13.XMD33.m1dec
    0 references
     
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