DLMF:1.13.E20 (Q455)

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DLMF:1.13.E20
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    DLMF defining formula
    { z , ζ } = - 2 ⁢ z ˙ 1 / 2 ⁢ d 2 d ζ 2 ⁡ ( z ˙ - 1 / 2 ) = z ˙˙˙ z ˙ - 3 2 ⁢ ( z ¨ z ˙ ) 2 . Schwarzian 𝑧 𝜁 2 superscript ˙ 𝑧 1 2 derivative 𝜁 2 superscript ˙ 𝑧 1 2 ˙˙˙ 𝑧 ˙ 𝑧 3 2 superscript ¨ 𝑧 ˙ 𝑧 2 {\displaystyle{\displaystyle\left\{z,\zeta\right\}=-2\dot{z}^{\ifrac{1}{2}}% \frac{{\mathrm{d}}^{2}}{{\mathrm{d}\zeta}^{2}}(\dot{z}^{-\ifrac{1}{2}})=\frac{% \dddot{z}}{\dot{z}}-\frac{3}{2}\left(\frac{\ddot{z}}{\dot{z}}\right)^{2}.}}
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