DLMF:1.13.E21 (Q487)

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DLMF:1.13.E21
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    Statements

    Defining formula
    { z , ζ } = ( d ξ / d ζ ) 2 ⁢ { z , ξ } + { ξ , ζ } . Schwarzian 𝑧 𝜁 superscript derivative 𝜉 𝜁 2 Schwarzian 𝑧 𝜉 Schwarzian 𝜉 𝜁 {\displaystyle{\displaystyle\left\{z,\zeta\right\}=(\ifrac{\mathrm{d}\xi}{% \mathrm{d}\zeta})^{2}\left\{z,\xi\right\}+\left\{\xi,\zeta\right\}.}}
    0 references
    DLMF id
    DLMF:1.13.E21
    0 references
    Symbols used
    Schwarzian derivative
    Defining formula
    { z , ζ } Schwarzian 𝑧 𝜁 {\displaystyle{\displaystyle\left\{\NVar{z},\NVar{\zeta}\right\}}}
    xml-id
    C1.S13.E20.m2abdec
    0 references
    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.m2ahdec
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    Q10760
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1rdec
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    Q10876
    Defining formula
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C1.S13.XMD20.m1bdec
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    Q10880
    Defining formula
    ζ ⁢ ( z ) 𝜁 𝑧 {\displaystyle{\displaystyle\zeta(z)}}
    xml-id
    C1.S13.XMD26.m1cdec
    0 references
     
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