DLMF:1.13.E22 (Q488)

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DLMF:1.13.E22
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    Statements

    Defining formula
    { z , ζ } = - ( d z / d ζ ) 2 ⁢ { ζ , z } . Schwarzian 𝑧 𝜁 superscript derivative 𝑧 𝜁 2 Schwarzian 𝜁 𝑧 {\displaystyle{\displaystyle\left\{z,\zeta\right\}=-(\ifrac{\mathrm{d}z}{% \mathrm{d}\zeta})^{2}\left\{\zeta,z\right\}.}}
    0 references
    DLMF id
    DLMF:1.13.E22
    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.m2acdec
    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.m2aidec
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    Q10760
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1sdec
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    Q10880
    Defining formula
    ζ ⁢ ( z ) 𝜁 𝑧 {\displaystyle{\displaystyle\zeta(z)}}
    xml-id
    C1.S13.XMD26.m1ddec
    0 references
     
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