# ${z}_{0}$ is a pole of $f$

Let $f$ be an analytic function^{} on a punctured neighborhood^{} of ${x}_{0}\in \mathbf{C}$,
that is, $f$ analytic on

$$ |

for some $\epsilon >0$ and such that

$$\underset{z\to {z}_{0}}{lim}|f(z)|=\mathrm{\infty}.$$ |

We say then that ${x}_{0}$ is a pole for $f$.

Title | ${z}_{0}$ is a pole of $f$ |
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Canonical name | Z0IsAPoleOfF |

Date of creation | 2013-03-22 14:00:55 |

Last modified on | 2013-03-22 14:00:55 |

Owner | drini (3) |

Last modified by | drini (3) |

Numerical id | 7 |

Author | drini (3) |

Entry type | Definition |

Classification | msc 30A99 |