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DLMF:32.2.E27 - MaRDI portal

DLMF:32.2.E27 (Q9879)

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DLMF:32.2.E27
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    Statements

    DLMF defining formula
    d 2 W d ζ 2 = 6 ⁢ W 2 + ζ + ϵ 6 ⁢ ( 2 ⁢ W 3 + ζ ⁢ W ) ; derivative 𝑊 𝜁 2 6 superscript 𝑊 2 𝜁 superscript italic-ϵ 6 2 superscript 𝑊 3 𝜁 𝑊 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}W}{{\mathrm{d}\zeta}^{2}}=6W% ^{2}+\zeta+\epsilon^{6}(2W^{3}+\zeta W);}}
    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.m2andec
    0 references
    bilinear transformation
    DLMF defining formula
    W ⁢ ( ζ ) 𝑊 𝜁 {\displaystyle{\displaystyle W(\zeta)}}
    xml-id
    C32.S2.XMD5.m1bdec
    0 references
     
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