Modular forms | Ordinary differential equations | Complex analysis | Projective geometry | Conformal mappings

Schwarzian derivative

In mathematics, the Schwarzian derivative is an operator similar to the derivative which is invariant under Möbius transformations. Thus, it occurs in the theory of the complex projective line, and in particular, in the theory of modular forms and hypergeometric functions. It plays an important role in the theory of univalent functions, conformal mapping and Teichmüller spaces. It is named after the German mathematician Hermann Schwarz. (Wikipedia).

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Witt algebra | Lie algebra cohomology | Biholomorphism | Upper half-plane | Formal power series | Dynamical system | String theory | Derivative | Jet (mathematics) | Chain rule | Schwarz reflection principle | Up to | Élie Cartan | Group cohomology | Riemann sphere | Pseudogroup | Quasicircle | Teichmüller space | Quasisymmetric map | Hypergeometric function | Inverse function theorem | Tensor density | Univalent function | Schwarz–Christoffel mapping | Universal Teichmüller space | Lipman Bers | Quadratic differential | Sturm separation theorem | Virasoro algebra | Mathematics | Ordinary differential equation | Felix Klein | Frederick Gehring | Quasiconformal mapping | Pushforward (differential) | Hill differential equation | Spectral theory of ordinary differential equations | Holomorphic function | Function of a real variable | Möbius transformation | Haar measure | Riccati equation | Uniform norm | Homogeneous space | Wronskian | Lamé function | Schwarz triangle function | Smoothness | Vector field