Formula:454

Digital Library of Mathematical Functions ID 1.13.E19

${\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}U}{{\mathrm{d}\zeta}^{2}}=\left(\dot{z}^{2}H(z)-\tfrac{1}{2}\left\{z,\zeta\right\}\right)U.}}$

Symbols List

• ${\displaystyle{\displaystyle\left\{\NVar{z},\NVar{\zeta}\right\}}}$: Schwarzian derivative
• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle z}}$: variable
• ${\displaystyle{\displaystyle H(z)}}$: 1.13.E15
• ${\displaystyle{\displaystyle\zeta(z)}}$: thrice-differentiable function
• ${\displaystyle{\displaystyle U(z)}}$: solution
 

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