analytic continuation by power series

Given a holomorphic functionMathworldPlanetmath defined on some open set, one technique for analytically continuing it to a larger set is by means of power seriesMathworldPlanetmath. One picks a point of the region and constructs the Taylor seriesMathworldPlanetmath of the function about that point. If it turns out that the radius of convergenceMathworldPlanetmath 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