# analytic continuation by power series

Given a holomorphic function^{} defined on some open set, one technique
for analytically continuing it to a larger set is by means of power
series^{}. One picks a point of the region and constructs the Taylor
series^{} of the function about that point. If it turns out that the
radius of convergence^{} of the Taylor series is large enough that it
contains points which are not in the original domain, one can
extend the function to a larger domain obtrained by adding these points.

Title | analytic continuation by power series |
---|---|

Canonical name | AnalyticContinuationByPowerSeries |

Date of creation | 2013-03-22 15:41:22 |

Last modified on | 2013-03-22 15:41:22 |

Owner | rspuzio (6075) |

Last modified by | rspuzio (6075) |

Numerical id | 4 |

Author | rspuzio (6075) |

Entry type | Result |

Classification | msc 30A99 |