# little Picard theorem

The range of a nonconstant entire function^{} is either the whole complex plane^{} $\u2102$, or the complex plane with a single point removed.
In other words, if an entire function omits two or more values, then it is a constant function.

Title | little Picard theorem |
---|---|

Canonical name | LittlePicardTheorem |

Date of creation | 2013-03-22 13:15:20 |

Last modified on | 2013-03-22 13:15:20 |

Owner | Koro (127) |

Last modified by | Koro (127) |

Numerical id | 5 |

Author | Koro (127) |

Entry type | Theorem |

Classification | msc 32H25 |