Formula:455

Digital Library of Mathematical Functions ID 1.13.E20

${\displaystyle{\displaystyle\left\{z,\zeta\right\}=-2\dot{z}^{\ifrac{1}{2}}\frac{{\mathrm{d}}^{2}}{{\mathrm{d}\zeta}^{2}}(\dot{z}^{-\ifrac{1}{2}})=\frac{\dddot{z}}{\dot{z}}-\frac{3}{2}\left(\frac{\ddot{z}}{\dot{z}}\right)^{2}.}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle z}}$: variable
• ${\displaystyle{\displaystyle\zeta(z)}}$: thrice-differentiable function
 

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