# entire function

An *entire function ^{}* is a function

^{}$f:\u2102\u27f6\u2102$ which is holomorphic everywhere on the complex domain $\u2102$.

For example, a polynomial^{} is holomorphic everywhere, as is the exponential function^{}. The function $z\mapsto 1/z$ is not holomorphic at zero, so it is not entire; it is meromorphic.

Title | entire function |
---|---|

Canonical name | EntireFunction |

Date of creation | 2013-03-22 12:04:39 |

Last modified on | 2013-03-22 12:04:39 |

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 10 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 30D20 |

Synonym | entire |