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 |