# Bloch’s theorem

Let $f$ be an holomorphic function^{} on a region containing the closure of the disk $$, such that $f(0)=0$ and ${f}^{\prime}(0)=1$. Then there is a disk $S\subset D$ such that $f$ is injective on $S$ and $f(S)$ contains a disk of radius $\frac{1}{72}$.

Title | Bloch’s theorem |
---|---|

Canonical name | BlochsTheorem |

Date of creation | 2013-03-22 13:15:17 |

Last modified on | 2013-03-22 13:15:17 |

Owner | Koro (127) |

Last modified by | Koro (127) |

Numerical id | 5 |

Author | Koro (127) |

Entry type | Theorem |

Classification | msc 32H02 |