# Schwarzian derivative

If $g$ is a thrice differentiable function, the *Schwarzian derivative ^{}*
is defined by

$$S(g)=\frac{2{g}^{\prime}{g}^{\prime \prime \prime}-3{({g}^{\prime \prime})}^{2}}{2{({g}^{\prime})}^{2}}.$$ |

Title | Schwarzian derivative |
---|---|

Canonical name | SchwarzianDerivative |

Date of creation | 2013-03-22 17:17:14 |

Last modified on | 2013-03-22 17:17:14 |

Owner | alexandros_plus (16765) |

Last modified by | alexandros_plus (16765) |

Numerical id | 11 |

Author | alexandros_plus (16765) |

Entry type | Definition |

Classification | msc 46N99 |